# carregando as bibliotecas 
suppressPackageStartupMessages(library("plotly"))
suppressPackageStartupMessages(library("tidyverse"))
suppressPackageStartupMessages(library("knitr"))
suppressPackageStartupMessages(library("kableExtra"))
suppressPackageStartupMessages(library("car"))
suppressPackageStartupMessages(library("rgl"))
suppressPackageStartupMessages(library("gridExtra"))
suppressPackageStartupMessages(library("PerformanceAnalytics"))
suppressPackageStartupMessages(library("reshape2"))
suppressPackageStartupMessages(library("rayshader"))
suppressPackageStartupMessages(library("psych"))
suppressPackageStartupMessages(library("ggrepel"))
suppressPackageStartupMessages(library("factoextra"))
suppressPackageStartupMessages(library("sp"))
suppressPackageStartupMessages(library("gridExtra"))

# Carregar dados
pizza <- as.data.frame(read_csv("Pizza.csv"))
## 
## -- Column specification --------------------------------------------------------
## cols(
##   brand = col_character(),
##   id = col_double(),
##   mois = col_double(),
##   prot = col_double(),
##   fat = col_double(),
##   ash = col_double(),
##   sodium = col_double(),
##   carb = col_double(),
##   cal = col_double()
## )
# Apresentando a base de dados:
pizza %>% 
  kable() %>%
  kable_styling(bootstrap_options = "striped", 
                full_width = T, 
                font_size = 12)
brand id mois prot fat ash sodium carb cal
A 14069 27.82 21.43 44.87 5.11 1.77 0.77 4.93
A 14053 28.49 21.26 43.89 5.34 1.79 1.02 4.84
A 14025 28.35 19.99 45.78 5.08 1.63 0.80 4.95
A 14016 30.55 20.15 43.13 4.79 1.61 1.38 4.74
A 14005 30.49 21.28 41.65 4.82 1.64 1.76 4.67
A 14075 31.14 20.23 42.31 4.92 1.65 1.40 4.67
A 14082 31.21 20.97 41.34 4.71 1.58 1.77 4.63
A 14097 28.76 21.41 41.60 5.28 1.75 2.95 4.72
A 14117 28.22 20.48 45.10 5.02 1.71 1.18 4.93
A 14133 27.72 21.19 45.29 5.16 1.66 0.64 4.95
A 14101 27.35 21.20 45.59 4.94 1.65 0.92 4.98
A 14108 26.98 21.20 45.03 5.15 1.67 1.64 4.97
A 14164 28.70 20.00 45.12 4.93 1.56 1.25 4.91
A 14154 30.91 19.65 42.45 4.81 1.65 2.81 4.72
A 24005 30.91 20.77 42.03 4.90 1.61 1.39 4.67
A 24026 30.83 17.88 44.33 5.26 1.76 1.70 4.77
A 24094 32.73 20.06 39.74 5.24 1.69 2.23 4.47
A 24108 34.58 17.53 40.87 5.05 1.61 1.97 4.46
A 24102 31.80 20.35 40.44 5.43 1.61 1.98 4.53
A 24082 31.02 19.05 42.29 5.27 1.71 2.37 4.66
A 34017 27.02 19.56 47.20 4.95 1.65 1.27 5.08
A 34020 27.78 20.01 45.59 4.97 1.70 1.65 4.97
A 24136 30.88 20.58 42.26 4.96 1.63 1.32 4.68
A 24122 32.20 19.25 43.42 4.62 1.50 0.51 4.70
A 24115 33.19 18.05 41.88 5.22 1.70 1.66 4.56
A 34012 30.43 19.78 44.20 4.80 1.61 0.79 4.80
A 34006 28.93 19.99 45.20 4.78 1.62 1.10 4.91
A 24146 30.41 18.71 43.99 4.86 1.62 2.03 4.79
A 24138 29.62 21.10 43.37 5.05 1.69 0.86 4.78
B 14015 49.57 13.70 29.07 3.62 1.10 4.04 3.33
B 14006 52.68 14.38 25.72 3.26 0.93 3.96 3.05
B 14024 48.53 13.14 30.38 3.55 0.99 4.40 3.44
B 14052 50.19 13.78 28.39 3.56 1.00 4.08 3.27
B 14062 50.67 13.21 27.66 3.64 1.00 4.82 3.21
B 14047 49.99 13.35 29.20 3.52 1.05 3.94 3.32
B 14074 50.72 12.93 29.88 3.60 1.03 2.87 3.32
B 14083 50.81 12.56 29.95 2.99 0.81 3.69 3.35
B 14094 54.08 13.28 25.25 3.10 0.80 4.29 2.98
B 14124 51.90 14.27 24.92 3.85 1.06 5.06 3.02
B 24019 50.33 13.96 29.25 3.42 0.96 3.04 3.31
B 24012 49.69 13.63 29.59 3.41 0.98 3.68 3.36
B 14132 51.12 14.02 27.37 3.71 1.11 3.78 3.18
B 14146 49.77 13.24 28.91 3.59 1.06 4.49 3.31
B 14149 54.96 14.26 22.99 3.19 0.90 4.60 2.82
B 14161 55.11 14.87 21.90 3.29 0.86 4.83 2.76
B 14113 54.12 14.06 24.95 3.14 0.82 3.73 2.96
B 24008 49.34 13.79 29.57 3.52 0.95 3.78 3.36
B 24029 50.65 13.14 28.79 3.73 1.09 3.69 3.26
B 24045 52.46 14.18 24.60 3.57 1.12 5.19 2.99
B 24040 49.96 13.40 28.84 3.48 0.98 4.32 3.30
B 24093 49.57 13.17 29.39 3.59 1.06 4.28 3.35
B 24083 49.34 13.06 29.46 3.51 1.04 4.63 3.36
B 24049 50.87 13.85 27.64 3.71 1.10 3.93 3.20
B 24101 51.03 13.90 27.56 3.73 1.08 3.78 3.19
B 34011 53.98 14.05 24.73 3.32 0.92 3.92 2.94
B 24125 52.23 13.64 27.04 3.57 0.98 3.52 3.12
B 24145 51.74 13.95 27.75 3.60 1.04 2.96 3.17
B 24151 51.52 13.72 28.28 3.62 1.05 2.86 3.21
B 34005 51.86 13.13 28.82 2.94 0.80 3.25 3.25
B 24118 51.75 13.18 28.38 3.04 0.86 3.65 3.23
C 14058 48.40 26.05 21.40 3.44 0.50 0.71 3.00
C 14022 48.69 28.48 17.37 3.53 0.43 1.93 2.78
C 14036 48.88 25.23 20.89 3.22 0.47 1.78 2.96
C 14093 48.97 25.63 19.28 3.48 0.55 2.64 2.87
C 14080 48.84 23.98 23.37 3.00 0.52 0.81 3.09
C 14029 49.73 25.65 19.98 2.51 0.52 2.13 2.91
C 14106 50.18 28.30 15.79 3.47 0.45 2.26 2.64
C 14014 48.15 27.98 18.69 3.58 0.48 1.70 2.87
C 14073 49.72 27.31 16.89 3.08 0.25 3.00 2.73
C 14151 51.59 26.24 16.41 3.61 0.60 2.15 2.61
C 14162 52.26 26.31 14.77 3.51 0.53 3.15 2.51
C 14139 49.35 25.23 20.03 3.02 0.44 2.37 2.91
C 14115 47.91 26.03 21.54 3.71 0.60 0.81 3.01
C 24006 47.83 25.82 20.79 3.33 0.54 2.23 2.99
C 24020 47.90 25.55 21.10 3.04 0.43 2.41 3.02
C 24031 49.10 24.53 21.08 2.84 0.34 2.45 2.98
C 24038 50.04 24.13 19.75 3.21 0.52 2.87 2.86
C 24043 52.19 26.00 16.64 4.17 0.61 1.00 2.58
C 24152 47.11 26.17 21.29 3.36 0.48 2.07 3.05
C 24144 48.48 26.76 19.99 3.64 0.46 1.13 2.91
C 24135 52.22 26.25 16.45 3.92 0.38 1.16 2.58
C 24124 49.57 26.91 18.00 2.21 0.41 3.31 2.83
C 24113 51.71 24.98 17.20 3.01 0.34 3.10 2.67
C 24058 49.27 27.42 17.42 3.05 0.33 2.84 2.78
C 24091 47.25 23.95 24.24 3.47 0.57 1.09 3.18
C 34010 50.98 26.34 16.47 3.20 0.43 3.01 2.66
C 34003 49.57 25.46 20.79 3.04 0.37 1.14 2.94
D 14092 46.64 21.38 24.96 4.60 0.77 2.42 3.20
D 14081 45.93 21.60 25.87 4.51 0.73 2.09 3.28
D 14072 47.60 22.07 21.13 4.07 0.72 5.13 2.99
D 14116 47.61 22.44 19.61 4.06 0.60 6.28 2.91
D 14128 46.91 21.79 21.17 4.06 0.76 6.07 3.02
D 14107 46.88 21.71 23.60 4.59 0.75 3.22 3.12
D 14050 47.49 21.75 20.83 4.01 0.67 5.92 2.98
D 14013 48.03 21.96 20.88 4.02 0.70 5.11 2.96
D 14004 49.16 27.99 17.49 3.29 0.39 2.07 2.78
D 14003 47.17 22.29 21.30 4.08 0.74 5.16 3.02
D 14037 47.29 21.48 21.69 4.03 0.67 5.51 3.03
D 14023 47.53 21.11 21.54 4.02 0.70 5.80 3.02
D 14059 47.86 22.25 19.53 4.04 0.68 6.32 2.90
D 14163 48.09 22.65 21.59 5.22 0.93 2.45 2.95
D 14150 47.73 22.38 21.39 5.21 0.99 3.29 2.95
D 14140 48.44 22.73 21.05 5.22 0.98 2.56 2.91
D 24007 47.43 22.13 21.01 4.09 0.72 5.34 2.99
D 24021 47.68 21.84 20.45 4.06 0.71 5.97 2.95
D 24011 48.05 22.05 20.57 4.04 0.70 5.29 2.94
D 24030 48.01 21.31 21.05 4.01 0.73 5.62 2.97
D 34009 47.45 22.37 20.97 4.06 0.70 5.15 2.99
D 24039 47.80 22.36 20.39 4.02 0.70 5.43 2.95
D 24044 48.31 22.49 19.53 4.18 0.62 5.49 2.88
D 34004 46.19 21.19 25.18 4.66 0.80 2.78 3.23
D 24153 48.81 22.43 18.68 4.10 0.72 5.98 2.82
D 24143 48.89 22.95 21.93 5.26 0.85 0.97 2.93
D 24134 47.91 22.22 20.40 4.07 0.56 5.40 2.94
D 24123 46.28 21.51 25.44 4.58 0.60 2.19 3.24
D 24114 46.29 21.43 26.00 4.71 0.69 1.57 3.26
D 24084 47.03 20.84 25.68 4.52 0.69 1.93 3.22
D 24092 46.80 20.70 25.10 4.55 0.70 2.85 3.20
D 24043 52.19 26.00 16.64 4.17 0.61 1.00 2.58
E 14089 34.58 7.44 16.24 1.31 0.39 40.43 3.38
E 14056 36.84 7.77 17.07 1.37 0.40 36.95 3.33
E 14099 35.14 8.05 15.77 1.38 0.41 39.66 3.33
E 14033 39.25 8.67 4.44 1.54 0.51 46.10 2.59
E 14063 34.51 7.75 14.87 1.42 0.42 41.45 3.31
E 14029 39.59 8.36 4.39 1.52 0.48 46.14 2.58
E 14039 34.94 7.81 13.67 1.36 0.40 42.22 3.23
E 14142 39.36 8.10 16.44 1.45 0.44 34.65 3.19
E 14122 36.04 7.74 15.49 1.45 0.45 39.28 3.27
E 14078 36.54 7.75 15.67 1.43 0.44 38.61 3.26
E 14126 37.78 8.30 13.05 1.64 0.49 39.23 3.08
E 14109 35.30 7.92 13.85 1.46 0.40 41.47 3.22
E 14155 34.47 7.62 19.07 1.44 0.44 37.40 3.52
E 14160 33.24 7.54 19.56 1.32 0.43 38.34 3.60
E 24110 37.34 7.33 19.61 1.60 0.45 34.12 3.42
E 24088 37.59 7.93 13.58 1.43 0.45 39.47 3.12
E 24053 36.50 7.52 12.46 1.51 0.47 42.01 3.10
E 24110 37.34 7.33 19.61 1.60 0.45 34.12 3.42
E 24035 34.31 7.98 14.54 1.46 0.49 41.71 3.30
E 24099 36.69 7.80 14.77 1.46 0.46 39.28 3.21
E 24140 34.23 7.75 17.94 1.61 0.44 38.47 3.46
E 34031 35.54 7.47 17.67 1.44 0.47 37.88 3.40
E 34030 35.21 6.98 20.02 1.35 0.46 36.44 3.54
E 34032 33.65 7.11 19.50 1.48 0.45 38.26 3.57
E 24142 34.77 7.26 18.80 1.58 0.43 37.59 3.49
E 34033 37.32 7.40 8.18 1.63 0.53 45.47 2.85
E 14126 37.78 8.30 13.05 1.64 0.49 39.23 3.08
E 24104 34.48 7.54 13.93 1.45 0.44 42.60 3.26
F 34037 28.03 7.65 18.39 1.53 0.49 44.40 3.74
F 14054 30.09 7.99 15.16 1.46 0.48 45.30 3.50
F 14118 29.79 8.17 14.35 1.49 0.46 46.20 3.46
F 14110 30.07 8.02 20.39 1.45 0.45 40.07 3.76
F 14096 28.46 7.70 18.88 1.40 0.43 43.56 3.75
F 14079 30.29 8.09 14.82 1.52 0.51 45.28 3.47
F 14065 28.66 7.67 16.12 1.41 0.43 46.14 3.60
F 14084 30.96 8.31 13.42 1.49 0.43 45.82 3.37
F 14018 29.78 8.20 14.51 1.50 0.50 46.01 3.47
F 14038 30.28 7.76 16.04 1.40 0.42 44.52 3.53
F 14152 29.92 8.11 19.23 1.51 0.48 41.23 3.70
F 14143 29.54 7.79 15.08 1.41 0.45 46.18 3.52
F 14130 28.93 8.18 19.35 1.39 0.58 42.15 3.75
F 14165 29.89 7.95 15.08 1.45 0.47 45.63 3.50
F 24035 27.65 7.78 17.30 1.29 0.40 46.25 3.72
F 24049 28.33 7.82 17.96 1.41 0.45 44.48 3.71
F 24042 29.10 8.07 20.05 1.45 0.45 41.33 3.78
F 24046 29.59 8.05 14.07 1.44 0.45 46.22 3.49
F 24055 27.93 7.88 17.49 1.44 0.47 45.26 3.96
F 24086 30.53 8.02 14.17 1.49 0.47 45.79 3.43
F 24097 30.68 8.11 12.92 1.56 0.47 46.73 3.36
F 24103 30.15 8.06 12.23 1.50 0.47 48.06 3.35
F 24109 29.30 8.02 16.34 1.43 0.45 44.91 3.59
F 24150 29.69 7.63 15.71 1.63 0.46 45.34 3.53
F 24157 29.00 7.51 17.78 1.58 0.43 44.13 3.67
F 34035 28.98 7.70 16.67 1.48 0.47 45.17 3.62
F 24106 28.84 7.88 17.21 1.42 0.46 44.65 3.65
F 34036 28.34 7.60 18.51 1.45 0.46 44.10 3.73
F 34034 28.36 7.62 19.29 1.45 0.47 43.28 3.77
F 24137 30.97 7.60 14.22 1.78 0.45 45.43 3.40
G 14145 28.15 8.23 15.45 1.41 0.45 46.76 3.59
G 24015 28.35 8.19 14.90 1.40 0.43 47.16 3.56
G 24004 30.85 8.03 13.67 1.41 0.42 46.04 3.39
G 14095 28.21 8.30 15.00 1.41 0.43 47.08 3.57
G 14153 28.83 8.26 20.10 1.37 0.42 41.44 3.80
G 14017 28.29 8.05 16.72 1.31 0.43 45.63 3.65
G 14010 28.68 8.30 16.07 1.41 0.45 45.54 3.60
G 14055 27.71 8.28 15.62 1.53 0.50 46.86 3.61
G 14040 28.03 8.27 16.40 1.37 0.41 45.93 3.64
G 14026 28.13 8.34 16.19 1.42 0.45 45.92 3.63
G 14119 28.09 8.42 14.06 1.47 0.45 47.96 3.52
G 14131 28.19 8.57 14.16 1.76 0.42 47.32 3.51
G 14112 28.63 8.42 15.24 1.43 0.43 46.28 3.56
G 14077 33.09 7.87 12.07 1.37 0.44 45.60 3.23
G 14066 26.33 8.03 19.98 1.43 0.45 44.23 3.89
G 14085 27.28 8.55 15.18 1.51 0.46 47.48 3.61
G 14166 27.56 8.25 14.65 1.45 0.46 48.09 3.57
G 24022 27.72 8.06 15.34 1.35 0.42 47.53 3.60
G 24041 30.63 8.21 17.33 1.39 0.42 42.44 3.59
G 24047 29.06 8.46 14.12 1.47 0.47 46.89 3.48
G 24033 28.55 8.25 17.30 1.48 0.47 44.42 3.66
G 24119 27.16 8.27 14.68 1.79 0.46 48.10 3.58
G 24121 28.33 8.17 13.64 1.45 0.47 48.41 3.49
G 24156 26.19 7.99 17.53 1.42 0.44 46.87 3.77
G 34008 26.45 7.89 17.97 1.30 0.39 46.39 3.79
G 34018 27.72 8.24 15.16 1.46 0.45 47.42 3.59
G 24059 25.00 8.49 16.87 1.45 0.47 48.19 3.79
G 34013 29.14 8.46 12.25 1.51 0.46 48.64 3.39
G 24149 28.64 8.01 16.02 1.43 0.45 45.90 3.60
H 14127 36.12 8.33 11.90 1.42 0.39 42.23 3.09
H 24001 35.10 8.04 19.07 1.36 0.41 36.43 3.50
H 14144 35.48 7.66 15.39 1.37 0.46 40.10 3.30
H 14123 35.66 9.04 6.24 1.50 0.42 47.56 2.83
H 14111 35.61 8.07 16.15 1.41 0.40 38.81 3.33
H 14088 35.68 8.01 16.36 1.30 0.39 38.65 3.34
H 14028 40.72 8.34 4.96 1.42 0.43 44.56 2.56
H 14009 35.55 7.32 16.40 1.76 0.36 38.97 3.33
H 14007 33.05 7.34 15.78 1.34 0.42 42.49 3.41
H 14057 33.75 8.07 14.93 1.31 0.40 41.94 3.34
H 14032 38.84 8.55 4.38 1.41 0.43 46.82 2.61
H 14100 33.44 7.45 18.49 1.39 0.40 39.23 3.53
H 14041 36.43 8.67 15.05 1.35 0.38 38.50 3.24
H 14064 35.84 7.90 14.09 1.25 0.42 40.92 3.22
H 14076 36.63 8.38 12.59 1.36 0.41 41.04 3.11
H 14159 35.50 8.11 13.45 1.34 0.42 41.59 3.20
H 14156 36.87 7.82 14.58 1.32 0.40 39.41 3.20
H 24009 35.50 7.51 15.63 1.42 0.42 39.94 3.30
H 24016 33.90 7.76 15.84 1.30 0.42 41.20 3.38
H 24024 35.80 7.82 14.08 1.43 0.42 40.87 3.21
H 24089 35.74 7.86 14.27 1.40 0.44 40.73 3.23
H 24054 35.74 7.47 19.14 1.34 0.40 36.31 3.47
H 24037 35.99 8.23 16.60 1.40 0.45 37.78 3.33
H 24034 35.50 7.90 13.83 1.41 0.46 41.36 3.22
H 24120 35.91 7.41 16.41 1.75 0.43 38.52 3.31
H 34028 36.01 7.70 15.60 1.37 0.43 39.32 3.28
H 34007 36.73 7.42 18.16 1.17 0.39 36.52 3.39
H 24139 35.86 7.47 14.72 1.67 0.40 40.28 3.23
H 34029 36.32 8.06 12.54 1.35 0.43 41.73 3.12
H 24100 34.61 7.17 17.88 1.29 0.40 39.05 3.46
H 24132 36.67 7.81 9.34 1.64 0.44 44.54 2.93
H 24112 35.94 7.97 13.50 1.45 0.42 41.14 3.18
H 24089 35.74 7.86 14.27 1.40 0.44 40.73 3.23
I 14134 54.64 10.36 12.89 2.21 0.53 19.90 2.37
I 14046 54.52 9.85 13.55 2.04 0.47 20.05 2.42
I 14019 53.84 10.22 13.05 2.07 0.48 20.82 2.42
I 24107 54.32 10.66 14.04 2.03 0.46 18.95 2.45
I 24111 52.90 10.19 14.35 2.02 0.49 20.54 2.52
I 24128 55.00 11.11 11.30 2.05 0.47 20.54 2.28
I 24052 56.24 9.06 11.49 1.93 0.48 21.28 2.25
I 14068 56.25 9.96 13.22 2.05 0.46 18.52 2.33
I 14157 54.43 9.61 12.18 2.16 0.51 21.62 2.35
I 14158 53.69 11.00 15.23 2.25 0.55 17.83 2.52
I 14102 54.69 10.32 13.77 2.15 0.48 19.07 2.41
I 14103 53.16 11.17 13.83 2.18 0.47 19.66 2.48
I 14031 55.15 10.92 12.51 2.20 0.51 19.22 2.33
I 14067 54.87 10.78 13.65 2.08 0.50 18.62 2.40
I 14030 55.43 10.46 12.37 2.17 0.51 19.57 2.31
I 24023 55.60 9.69 13.89 1.99 0.48 18.83 2.39
I 14114 54.51 9.93 12.66 2.07 0.53 20.83 2.37
I 14098 54.74 10.18 12.60 2.06 0.48 20.42 2.36
I 14125 54.17 10.67 12.18 2.08 0.49 20.90 2.36
I 24048 52.75 10.78 12.98 2.12 0.49 21.37 2.45
I 34023 54.36 11.43 13.09 2.24 0.48 18.88 2.39
I 34022 54.28 10.75 13.87 2.13 0.46 18.97 2.40
I 34021 54.54 10.40 13.22 2.10 0.47 19.74 2.40
I 24141 54.06 10.68 13.53 2.04 0.46 19.69 2.43
I 34019 57.22 9.66 10.95 2.04 0.47 20.13 2.18
I 34027 54.80 10.57 13.42 2.08 0.50 19.13 2.40
I 34026 54.17 10.13 13.25 2.07 0.46 20.38 2.41
I 34025 53.57 10.73 12.78 2.16 0.48 20.76 2.41
I 34024 55.29 9.84 12.91 2.08 0.51 19.88 2.35
J 34042 46.16 10.34 16.14 2.47 0.67 24.89 2.86
J 34045 43.80 10.97 16.49 2.46 0.65 26.28 2.97
J 14044 47.60 10.43 15.18 2.32 0.56 24.47 2.76
J 14045 46.84 9.91 15.50 2.27 0.57 25.48 2.81
J 14042 46.10 9.87 15.97 2.19 0.53 25.87 2.87
J 14043 47.84 10.16 14.56 2.27 0.54 25.17 2.72
J 24065 45.86 10.50 17.07 2.33 0.61 24.24 2.93
J 24064 46.55 10.75 16.72 2.24 0.61 23.74 2.88
J 24063 46.13 10.71 17.24 2.36 0.61 23.56 2.92
J 24062 48.58 9.76 16.01 2.30 0.60 23.35 2.77
J 24074 44.76 12.91 15.56 2.34 0.61 24.43 2.89
J 24073 46.13 10.84 13.99 2.38 0.64 26.66 2.76
J 24072 47.43 10.45 16.50 2.35 0.61 23.27 2.83
J 24071 46.22 11.26 15.93 2.47 0.63 24.12 2.85
J 24068 45.20 10.67 16.38 2.44 0.60 25.31 2.91
J 24078 47.05 10.46 15.16 2.34 0.64 24.99 2.78
J 24056 43.45 10.81 19.49 2.51 0.68 23.74 3.14
J 34038 47.74 10.23 16.31 2.50 0.67 23.22 2.81
J 34041 45.17 10.42 17.20 2.34 0.61 24.87 2.96
J 34040 44.77 10.52 16.12 2.44 0.66 26.15 2.92
J 24067 47.91 10.75 16.00 2.40 0.64 22.94 2.79
J 24066 45.69 10.23 16.50 2.30 0.59 25.28 2.91
J 24076 46.12 10.30 16.38 2.35 0.61 24.85 2.88
J 24077 47.35 10.31 15.45 2.34 0.62 24.55 2.78
J 24070 45.21 9.39 16.23 2.14 0.55 27.03 2.92
J 24075 46.34 10.00 17.73 2.32 0.59 23.61 2.94
J 34043 44.07 10.96 18.39 2.56 0.66 24.02 3.05
J 34044 44.91 11.07 17.00 2.49 0.66 25.36 2.91
J 24069 43.15 11.79 18.46 2.43 0.67 24.17 3.10
J 34039 44.55 11.01 16.03 2.43 0.64 25.98 2.92
J 14044 47.60 10.43 15.18 2.32 0.56 24.47 2.76
J 14045 46.84 9.91 15.50 2.27 0.57 25.48 2.81
# Analisando as correlações entre variáveis da base de dados
chart.Correlation(pizza[, 2:8], histogram = TRUE, pch = "+")

# Salvando a Matriz de Correlações
rho_pizza <- cor(pizza[,2:8])

# Construindo um mapa de calor a partir das correlações
rho_pizza %>% 
  melt() %>% 
  ggplot() +
  geom_tile(aes(x = Var1, y = Var2, fill = value)) +
  geom_text(aes(x = Var1, y = Var2, label = round(x = value, digits = 3)),
            size = 4) +
  labs(x = NULL,
       y = NULL,
       fill = "Correlações") +
  scale_fill_gradient2(low = "dodgerblue4", 
                       mid = "white", 
                       high = "brown4",
                       midpoint = 0) +
  theme(panel.background = element_rect("white"),
        panel.grid = element_line("grey95"),
        panel.border = element_rect(NA),
        legend.position = "bottom",
        axis.text.x = element_text(angle = 0))

# O teste de efericidade de Bartlett
cortest.bartlett(R = rho_pizza)
## Warning in cortest.bartlett(R = rho_pizza): n not specified, 100 used
## $chisq
## [1] 1608.949
## 
## $p.value
## [1] 0
## 
## $df
## [1] 21
# O algoritmo prcomp(), do pacote psych, EXIGE que a a matriz de dados fornecida
# a ele já esteja padronizada pelo procedimento zscores:
pizza_std <- pizza %>% 
  select(-brand) %>% 
  select(-id) %>% 
  scale() %>% 
  data.frame()

# Rodando a PCA
afpc_pizza <- prcomp(pizza_std)
summary(afpc_pizza)
## Importance of components:
##                          PC1    PC2     PC3    PC4     PC5     PC6      PC7
## Standard deviation     2.042 1.5134 0.64387 0.3085 0.16636 0.01837 0.003085
## Proportion of Variance 0.596 0.3272 0.05922 0.0136 0.00395 0.00005 0.000000
## Cumulative Proportion  0.596 0.9232 0.98240 0.9960 0.99995 1.00000 1.000000
# Sumarizando pontos importantes:
data.frame(eigenvalue = afpc_pizza$sdev ^ 2,
           var_compartilhada = summary(afpc_pizza)$importance[2,],
           var_cumulativa = summary(afpc_pizza)$importance[3,]) -> relatorio

relatorio %>% 
  kable() %>%
  kable_styling(bootstrap_options = "striped", 
                full_width = T, 
                font_size = 12)
eigenvalue var_compartilhada var_cumulativa
PC1 4.1717819 0.59597 0.59597
PC2 2.2904574 0.32721 0.92318
PC3 0.4145623 0.05922 0.98240
PC4 0.0951742 0.01360 0.99600
PC5 0.0276770 0.00395 0.99995
PC6 0.0003376 0.00005 1.00000
PC7 0.0000095 0.00000 1.00000
# Visualizando os pesos que cada variável tem em cada componente principal 
# obtido pela PCA
ggplotly(
  data.frame(afpc_pizza$rotation) %>%
    mutate(var = names(pizza[2:8])) %>%
    melt(id.vars = "var") %>%
    mutate(var = factor(var)) %>%
    ggplot(aes(x = var, y = value, fill = var)) +
    geom_bar(stat = "identity", color = "black") +
    facet_wrap(~variable) +
    labs(x = NULL, y = NULL, fill = "Legenda:") +
    scale_fill_viridis_d() +
    theme_bw() +
    theme(axis.text.x = element_text(angle = 90))
)
# Scree Plot - apenas ignorar os warnings
ggplotly(
  fviz_eig(X = afpc_pizza,
           ggtheme = theme_bw(), 
           barcolor = "black", 
           barfill = "dodgerblue4",
           linecolor = "darkgoldenrod4")
)
## Warning: 'bar' objects don't have these attributes: 'mode'
## Valid attributes include:
## 'type', 'visible', 'showlegend', 'legendgroup', 'opacity', 'name', 'uid', 'ids', 'customdata', 'meta', 'selectedpoints', 'hoverinfo', 'hoverlabel', 'stream', 'transforms', 'uirevision', 'x', 'x0', 'dx', 'y', 'y0', 'dy', 'xperiod', 'yperiod', 'xperiod0', 'yperiod0', 'xperiodalignment', 'yperiodalignment', 'text', 'texttemplate', 'hovertext', 'hovertemplate', 'textposition', 'insidetextanchor', 'textangle', 'textfont', 'insidetextfont', 'outsidetextfont', 'constraintext', 'cliponaxis', 'orientation', 'base', 'offset', 'width', 'marker', 'offsetgroup', 'alignmentgroup', 'selected', 'unselected', 'r', 't', '_deprecated', 'error_x', 'error_y', 'xcalendar', 'ycalendar', 'xaxis', 'yaxis', 'idssrc', 'customdatasrc', 'metasrc', 'hoverinfosrc', 'xsrc', 'ysrc', 'textsrc', 'texttemplatesrc', 'hovertextsrc', 'hovertemplatesrc', 'textpositionsrc', 'basesrc', 'offsetsrc', 'widthsrc', 'rsrc', 'tsrc', 'key', 'set', 'frame', 'transforms', '_isNestedKey', '_isSimpleKey', '_isGraticule', '_bbox'
#Extraindo as Cargas Fatoriais
k <- sum((afpc_pizza$sdev ^ 2) > 1) 
cargas_fatoriais <- afpc_pizza$rotation[, 1:k] %*% diag(afpc_pizza$sdev[1:k])

# Visualizando as cargas fatoriais
data.frame(cargas_fatoriais) %>%
  rename(F1 = X1,
         F2 = X2) %>%
  kable() %>%
  kable_styling(bootstrap_options = "striped", 
                full_width = T, 
                font_size = 12)
F1 F2
mois 0.1321685 -0.9508488
prot 0.7736169 -0.4081810
fat 0.9123125 0.3547153
ash 0.9638315 -0.1679758
sodium 0.8899205 0.3051999
carb -0.8678837 0.4847685
cal 0.4993639 0.8588049
#Visualizando as Comunalidades
data.frame(rowSums(cargas_fatoriais ^ 2)) %>%
  rename(comunalidades = 1) %>%
  kable() %>%
  kable_styling(bootstrap_options = "striped", 
                full_width = T, 
                font_size = 12)
comunalidades
mois 0.9215821
prot 0.7650948
fat 0.9581370
ash 0.9571871
sodium 0.8851056
carb 0.9882227
cal 0.9869101
# Relatório das cargas fatoriais e das comunalidades
data.frame(cargas_fatoriais) %>%
  rename(F1 = X1,
         F2 = X2) %>%
  mutate(Comunalidades = rowSums(cargas_fatoriais ^ 2)) %>%
  kable() %>%
  kable_styling(bootstrap_options = "striped", 
                full_width = T, 
                font_size = 12)
F1 F2 Comunalidades
mois 0.1321685 -0.9508488 0.9215821
prot 0.7736169 -0.4081810 0.7650948
fat 0.9123125 0.3547153 0.9581370
ash 0.9638315 -0.1679758 0.9571871
sodium 0.8899205 0.3051999 0.8851056
carb -0.8678837 0.4847685 0.9882227
cal 0.4993639 0.8588049 0.9869101
# Plotagem das Cargas Fatoriais
data.frame(cargas_fatoriais) %>%
  ggplot(aes(x = X1, y = X2)) +
  geom_point(color = "orange") +
  geom_hline(yintercept = 0, color = "darkorchid") +
  geom_vline(xintercept = 0, color = "darkorchid") +
  geom_text_repel(label = row.names(cargas_fatoriais)) +
  labs(x = "F1",
       y = "F2") +
  theme_bw()

# Scores Fatoriais
scores_fatoriais <- t(afpc_pizza$rotation)/afpc_pizza$sdev 
colnames(scores_fatoriais) <- colnames(pizza_std)

scores_fatoriais
##              mois         prot          fat          ash     sodium
## PC1    0.03168155   0.18544040    0.2186865   0.23103594  0.2133190
## PC2   -0.41513492  -0.17820937    0.1548666  -0.07333721  0.1332485
## PC3    0.65490257  -1.15867031    0.3095504  -0.08739825  0.7069320
## PC4    0.71545962   0.03433740    1.6435556  -1.79057637 -1.4465875
## PC5    0.03889236   2.33213030   -1.0420975  -4.03263474  3.6222600
## PC6  -24.29771847   0.00933487   28.5946775  -3.20346416 -0.1704016
## PC7 -135.66769453 -89.70568255 -122.4118863 -18.15780333  0.1699452
##              carb         cal
## PC1   -0.20803670   0.1197004
## PC2    0.21164704   0.3749491
## PC3   -0.08112957  -0.1759927
## PC4   -1.08374719   0.9052196
## PC5   -0.04470254  -0.4688702
## PC6    0.02769399 -39.2896481
## PC7 -251.54116862  -3.9088572
scores_fatoriais %>%
  t() %>%
  data.frame() %>%
  rename(PC1 = 1,
         PC2 = 2) %>%
  select(PC1, PC2) %>%
  kable() %>%
  kable_styling(bootstrap_options = "striped", 
                full_width = T, 
                font_size = 12)
PC1 PC2
mois 0.0316815 -0.4151349
prot 0.1854404 -0.1782094
fat 0.2186865 0.1548666
ash 0.2310359 -0.0733372
sodium 0.2133190 0.1332485
carb -0.2080367 0.2116470
cal 0.1197004 0.3749491
# Proposta da construção de um ranking ------------------------------------

#Assumindo-se apenas o F1 como indicador, calculam-se os scores fatoriais:
score_D1 <- scores_fatoriais[1,]
score_D1
##        mois        prot         fat         ash      sodium        carb 
##  0.03168155  0.18544040  0.21868652  0.23103594  0.21331905 -0.20803670 
##         cal 
##  0.11970038
#Estabelecendo o ranking dos indicadores assumido
F1 <- t(apply(pizza_std, 1, function(x) x * score_D1))

F1 %>%
  kable() %>%
  kable_styling(bootstrap_options = "striped", 
                full_width = T, 
                font_size = 12)
mois prot fat ash sodium carb cal
-0.0433887 0.2321879 0.6003502 0.4506667 0.6339248 0.2549414 0.3202773
-0.0411667 0.2272885 0.5764731 0.4925170 0.6454444 0.2520567 0.3029024
-0.0416310 0.1906869 0.6225218 0.4452080 0.5532874 0.2545952 0.3241384
-0.0343349 0.1952981 0.5579561 0.3924402 0.5417678 0.2479029 0.2835970
-0.0345339 0.2278649 0.5218968 0.3978990 0.5590472 0.2435182 0.2700832
-0.0323783 0.1976037 0.5379773 0.4160947 0.5648070 0.2476721 0.2700832
-0.0321461 0.2189306 0.5143438 0.3778836 0.5244884 0.2434028 0.2623610
-0.0402713 0.2316115 0.5206786 0.4815995 0.6224051 0.2297874 0.2797359
-0.0420622 0.2048087 0.6059540 0.4342905 0.5993659 0.2502106 0.3202773
-0.0437204 0.2252711 0.6105832 0.4597646 0.5705669 0.2564414 0.3241384
-0.0449474 0.2255593 0.6178925 0.4197339 0.5648070 0.2532106 0.3299301
-0.0461745 0.2255593 0.6042485 0.4579450 0.5763267 0.2449028 0.3279995
-0.0404703 0.1909751 0.6064413 0.4179143 0.5129687 0.2494029 0.3164163
-0.0331410 0.1808880 0.5413883 0.3960794 0.5648070 0.2314028 0.2797359
-0.0331410 0.2131666 0.5311553 0.4124556 0.5417678 0.2477875 0.2700832
-0.0334063 0.1298763 0.5871934 0.4779603 0.6281650 0.2442105 0.2893886
-0.0271052 0.1927043 0.4753608 0.4743212 0.5878463 0.2380951 0.2314723
-0.0209698 0.1197892 0.5028926 0.4397492 0.5417678 0.2410951 0.2295417
-0.0301894 0.2010621 0.4924159 0.5088931 0.5417678 0.2409797 0.2430556
-0.0327762 0.1635959 0.5374900 0.4797799 0.5993659 0.2364797 0.2681526
-0.0460418 0.1782942 0.6571192 0.4215535 0.5648070 0.2491721 0.3492355
-0.0435214 0.1912633 0.6178925 0.4251926 0.5936061 0.2447875 0.3279995
-0.0332405 0.2076908 0.5367591 0.4233730 0.5532874 0.2485952 0.2720137
-0.0288629 0.1693599 0.5650218 0.3615074 0.4784099 0.2579414 0.2758748
-0.0255796 0.1347757 0.5275006 0.4706820 0.5936061 0.2446721 0.2488472
-0.0347329 0.1846346 0.5840260 0.3942598 0.5417678 0.2547106 0.2951803
-0.0397075 0.1906869 0.6083904 0.3906207 0.5475276 0.2511337 0.3164163
-0.0347992 0.1537970 0.5789095 0.4051773 0.5475276 0.2404028 0.2932497
-0.0374192 0.2226773 0.5638036 0.4397492 0.5878463 0.2539029 0.2913192
0.0287430 0.0094079 0.2153927 0.1795498 0.2480175 0.2172103 0.0113902
0.0390571 0.0290056 0.1337719 0.1140450 0.1501007 0.2181334 -0.0426650
0.0252940 -0.0067314 0.2473100 0.1668127 0.1846595 0.2130565 0.0326262
0.0307992 0.0117135 0.1988249 0.1686323 0.1904193 0.2167488 -0.0001931
0.0323911 -0.0047140 0.1810389 0.1831889 0.1904193 0.2082103 -0.0117763
0.0301359 -0.0006792 0.2185600 0.1613540 0.2192184 0.2183642 0.0094597
0.0325569 -0.0127837 0.2351278 0.1759106 0.2076988 0.2307104 0.0094597
0.0328554 -0.0234471 0.2368333 0.0649164 0.0809829 0.2212488 0.0152513
0.0437000 -0.0026966 0.1223207 0.0849318 0.0752231 0.2143257 -0.0561788
0.0364703 0.0258354 0.1142804 0.2214000 0.2249782 0.2054410 -0.0484567
0.0312635 0.0169011 0.2197782 0.1431582 0.1673801 0.2287489 0.0075291
0.0291410 0.0073905 0.2280621 0.1413387 0.1788997 0.2213642 0.0171818
0.0338835 0.0186303 0.1739732 0.1959260 0.2537773 0.2202104 -0.0175680
0.0294063 -0.0038494 0.2114944 0.1740910 0.2249782 0.2120180 0.0075291
0.0466184 0.0255472 0.0672571 0.1013080 0.1328212 0.2107488 -0.0870676
0.0471159 0.0431275 0.0406999 0.1195037 0.1097820 0.2080949 -0.0986508
0.0438327 0.0197831 0.1150113 0.0922101 0.0867427 0.2207873 -0.0600399
0.0279803 0.0120017 0.2275749 0.1613540 0.1616203 0.2202104 0.0171818
0.0323248 -0.0067314 0.2085706 0.1995651 0.2422576 0.2212488 -0.0021236
0.0383274 0.0232416 0.1064838 0.1704519 0.2595371 0.2039410 -0.0542483
0.0300364 0.0007618 0.2097888 0.1540757 0.1788997 0.2139796 0.0055986
0.0287430 -0.0058668 0.2231893 0.1740910 0.2249782 0.2144411 0.0152513
0.0279803 -0.0090371 0.2248948 0.1595344 0.2134586 0.2104026 0.0171818
0.0330544 0.0137309 0.1805516 0.1959260 0.2480175 0.2184796 -0.0137069
0.0335850 0.0151719 0.1786024 0.1995651 0.2364978 0.2202104 -0.0156374
0.0433684 0.0194949 0.1096512 0.1249625 0.1443409 0.2185950 -0.0639010
0.0375647 0.0076787 0.1659329 0.1704519 0.1788997 0.2232104 -0.0291512
0.0359396 0.0166129 0.1832317 0.1759106 0.2134586 0.2296720 -0.0194985
0.0352100 0.0099843 0.1961448 0.1795498 0.2192184 0.2308258 -0.0117763
0.0363376 -0.0070196 0.2093016 0.0558185 0.0752231 0.2263258 -0.0040541
0.0359728 -0.0055786 0.1985812 0.0740143 0.1097820 0.2217104 -0.0079152
0.0248628 0.3653372 0.0285177 0.1467974 -0.0975712 0.2556337 -0.0523178
0.0258246 0.4353702 -0.0696708 0.1631736 -0.1378899 0.2415567 -0.0947897
0.0264547 0.3417046 0.0160919 0.1067667 -0.1148506 0.2432874 -0.0600399
0.0267532 0.3532327 -0.0231348 0.1540757 -0.0687721 0.2333643 -0.0774148
0.0263221 0.3056794 0.0765156 0.0667360 -0.0860516 0.2544798 -0.0349429
0.0292737 0.3538091 -0.0060797 -0.0224233 -0.0860516 0.2392490 -0.0696927
0.0307660 0.4301826 -0.1081666 0.1522561 -0.1263702 0.2377489 -0.1218174
0.0240337 0.4209602 -0.0375098 0.1722715 -0.1090908 0.2442105 -0.0774148
0.0292405 0.4016506 -0.0813657 0.0812926 -0.2415665 0.2292104 -0.1044425
0.0354422 0.3708130 -0.0930606 0.1777302 -0.0399731 0.2390182 -0.1276090
0.0376642 0.3728304 -0.1330182 0.1595344 -0.0802918 0.2274796 -0.1469144
0.0280134 0.3417046 -0.0048615 0.0703752 -0.1321301 0.2364797 -0.0696927
0.0232378 0.3647608 0.0319287 0.1959260 -0.0399731 0.2544798 -0.0503872
0.0229725 0.3587085 0.0136554 0.1267820 -0.0745320 0.2380951 -0.0542483
0.0232046 0.3509271 0.0212084 0.0740143 -0.1378899 0.2360182 -0.0484567
0.0271843 0.3215305 0.0207211 0.0376228 -0.1897282 0.2355566 -0.0561788
0.0303017 0.3100024 -0.0116835 0.1049471 -0.0860516 0.2307104 -0.0793454
0.0374320 0.3638962 -0.0874568 0.2796265 -0.0342133 0.2522875 -0.1334006
0.0205847 0.3687956 0.0258376 0.1322408 -0.1090908 0.2399413 -0.0426650
0.0251282 0.3857995 -0.0058361 0.1831889 -0.1206104 0.2507875 -0.0696927
0.0375315 0.3711012 -0.0920861 0.2341371 -0.1666889 0.2504413 -0.1334006
0.0287430 0.3901226 -0.0543212 -0.0770106 -0.1494095 0.2256335 -0.0851370
0.0358401 0.3344996 -0.0738128 0.0685556 -0.1897282 0.2280566 -0.1160257
0.0277481 0.4048208 -0.0684526 0.0758339 -0.1954880 0.2310566 -0.0947897
0.0210490 0.3048148 0.0977126 0.1522561 -0.0572525 0.2512490 -0.0175680
0.0334192 0.3736950 -0.0915988 0.1031275 -0.1378899 0.2290950 -0.1179563
0.0287430 0.3483333 0.0136554 0.0740143 -0.1724487 0.2506721 -0.0639010
0.0190260 0.2307469 0.1152550 0.3578683 0.0579437 0.2359028 -0.0137069
0.0166713 0.2370874 0.1374266 0.3414921 0.0349045 0.2397105 0.0017375
0.0222097 0.2506328 0.0219393 0.2614307 0.0291446 0.2046333 -0.0542483
0.0222429 0.2612963 -0.0150946 0.2596111 -0.0399731 0.1913640 -0.0696927
0.0199214 0.2425632 0.0229139 0.2596111 0.0521839 0.1937871 -0.0484567
0.0198219 0.2402576 0.0821194 0.3560487 0.0464241 0.2266720 -0.0291512
0.0218449 0.2414104 0.0146300 0.2505133 0.0003456 0.1955179 -0.0561788
0.0236358 0.2474626 0.0158482 0.2523328 0.0176250 0.2048641 -0.0600399
0.0273833 0.4212484 -0.0667471 0.1195037 -0.1609291 0.2399413 -0.0947897
0.0207837 0.2569733 0.0260813 0.2632503 0.0406643 0.2042872 -0.0484567
0.0211816 0.2336289 0.0355834 0.2541524 0.0003456 0.2002487 -0.0465261
0.0219776 0.2229655 0.0319287 0.2523328 0.0176250 0.1969025 -0.0484567
0.0230720 0.2558205 -0.0170437 0.2559720 0.0061054 0.1909025 -0.0716232
0.0238348 0.2673486 0.0331470 0.4706820 0.1501007 0.2355566 -0.0619705
0.0226409 0.2595671 0.0282741 0.4688625 0.1846595 0.2258643 -0.0619705
0.0249955 0.2696542 0.0199902 0.4706820 0.1788997 0.2342874 -0.0696927
0.0216459 0.2523621 0.0190156 0.2650699 0.0291446 0.2022102 -0.0542483
0.0224750 0.2440042 0.0053715 0.2596111 0.0233848 0.1949410 -0.0619705
0.0237021 0.2500564 0.0082953 0.2559720 0.0176250 0.2027872 -0.0639010
0.0235695 0.2287295 0.0199902 0.2505133 0.0349045 0.1989795 -0.0581094
0.0217123 0.2592789 0.0180410 0.2596111 0.0176250 0.2044026 -0.0542483
0.0228730 0.2589907 0.0039097 0.2523328 0.0176250 0.2011718 -0.0619705
0.0245644 0.2627373 -0.0170437 0.2814461 -0.0284535 0.2004795 -0.0754843
0.0175336 0.2252711 0.1206151 0.3687857 0.0752231 0.2317489 -0.0079152
0.0262226 0.2610081 -0.0377534 0.2668894 0.0291446 0.1948256 -0.0870676
0.0264879 0.2759946 0.0414308 0.4779603 0.1040222 0.2526337 -0.0658316
0.0232378 0.2549559 0.0041533 0.2614307 -0.0630123 0.2015179 -0.0639010
0.0178321 0.2344935 0.1269499 0.3542291 -0.0399731 0.2385566 -0.0059847
0.0178652 0.2321879 0.1405940 0.3778836 0.0118652 0.2457105 -0.0021236
0.0203194 0.2151840 0.1327973 0.3433117 0.0118652 0.2415567 -0.0098458
0.0195566 0.2111492 0.1186660 0.3487704 0.0176250 0.2309412 -0.0137069
0.0374320 0.3638962 -0.0874568 0.2796265 -0.0342133 0.2522875 -0.1334006
-0.0209698 -0.1710065 -0.0972026 -0.2407725 -0.1609291 -0.2026772 0.0210429
-0.0134748 -0.1614958 -0.0769801 -0.2298550 -0.1551693 -0.1625230 0.0113902
-0.0191126 -0.1534262 -0.1086538 -0.2280354 -0.1494095 -0.1937925 0.0113902
-0.0054822 -0.1355577 -0.3847025 -0.1989222 -0.0918114 -0.2681007 -0.1314701
-0.0212020 -0.1620722 -0.1305818 -0.2207571 -0.1436497 -0.2144465 0.0075291
-0.0043547 -0.1444919 -0.3859207 -0.2025613 -0.1090908 -0.2685622 -0.1334006
-0.0197759 -0.1603430 -0.1598191 -0.2316746 -0.1551693 -0.2233312 -0.0079152
-0.0051174 -0.1519852 -0.0923297 -0.2152984 -0.1321301 -0.1359844 -0.0156374
-0.0161279 -0.1623604 -0.1154759 -0.2152984 -0.1263702 -0.1894078 -0.0001931
-0.0144697 -0.1620722 -0.1110903 -0.2189375 -0.1321301 -0.1816770 -0.0021236
-0.0103573 -0.1462211 -0.1749250 -0.1807264 -0.1033310 -0.1888309 -0.0368734
-0.0185820 -0.1571728 -0.1554335 -0.2134788 -0.1551693 -0.2146773 -0.0098458
-0.0213346 -0.1658189 -0.0282513 -0.2171180 -0.1321301 -0.1677154 0.0480706
-0.0254138 -0.1681245 -0.0163128 -0.2389529 -0.1378899 -0.1785616 0.0635149
-0.0118166 -0.1741767 -0.0150946 -0.1880047 -0.1263702 -0.1298690 0.0287651
-0.0109875 -0.1568846 -0.1620119 -0.2189375 -0.1263702 -0.1916002 -0.0291512
-0.0146023 -0.1687009 -0.1893000 -0.2043809 -0.1148506 -0.2209081 -0.0330123
-0.0118166 -0.1741767 -0.0150946 -0.1880047 -0.1263702 -0.1298690 0.0287651
-0.0218653 -0.1554436 -0.1386221 -0.2134788 -0.1033310 -0.2174465 0.0055986
-0.0139722 -0.1606312 -0.1330182 -0.2134788 -0.1206104 -0.1894078 -0.0117763
-0.0221306 -0.1620722 -0.0557831 -0.1861852 -0.1321301 -0.1800616 0.0364873
-0.0177861 -0.1701419 -0.0623615 -0.2171180 -0.1148506 -0.1732539 0.0249040
-0.0188805 -0.1842638 -0.0051052 -0.2334941 -0.1206104 -0.1566384 0.0519316
-0.0240541 -0.1805172 -0.0177746 -0.2098397 -0.1263702 -0.1776385 0.0577233
-0.0203397 -0.1761941 -0.0348297 -0.1916439 -0.1378899 -0.1699077 0.0422789
-0.0118829 -0.1721593 -0.2935796 -0.1825460 -0.0802918 -0.2608314 -0.0812759
-0.0103573 -0.1462211 -0.1749250 -0.1807264 -0.1033310 -0.1888309 -0.0368734
-0.0213015 -0.1681245 -0.1534843 -0.2152984 -0.1321301 -0.2277158 -0.0021236
-0.0426923 -0.1649543 -0.0448191 -0.2007418 -0.1033310 -0.2484852 0.0905425
-0.0358605 -0.1551554 -0.1235161 -0.2134788 -0.1090908 -0.2588699 0.0442095
-0.0368554 -0.1499678 -0.1432513 -0.2080201 -0.1206104 -0.2692546 0.0364873
-0.0359268 -0.1542908 0.0039097 -0.2152984 -0.1263702 -0.1985233 0.0944036
-0.0412662 -0.1635133 -0.0328806 -0.2243963 -0.1378899 -0.2387928 0.0924731
-0.0351972 -0.1522734 -0.1318000 -0.2025613 -0.0918114 -0.2586391 0.0384178
-0.0406029 -0.1643779 -0.1001263 -0.2225767 -0.1378899 -0.2685622 0.0635149
-0.0329752 -0.1459329 -0.1659102 -0.2080201 -0.1378899 -0.2648699 0.0191124
-0.0368886 -0.1491032 -0.1393530 -0.2062005 -0.0975712 -0.2670622 0.0384178
-0.0352304 -0.1617840 -0.1020755 -0.2243963 -0.1436497 -0.2498698 0.0500011
-0.0364243 -0.1516970 -0.0243530 -0.2043809 -0.1090908 -0.2119080 0.0828204
-0.0376845 -0.1609194 -0.1254653 -0.2225767 -0.1263702 -0.2690238 0.0480706
-0.0397075 -0.1496796 -0.0214293 -0.2262158 -0.0514927 -0.2225235 0.0924731
-0.0365238 -0.1563082 -0.1254653 -0.2152984 -0.1148506 -0.2626776 0.0442095
-0.0439525 -0.1612076 -0.0713763 -0.2444116 -0.1551693 -0.2698315 0.0866815
-0.0416973 -0.1600548 -0.0552958 -0.2225767 -0.1263702 -0.2494083 0.0847509
-0.0391437 -0.1528498 -0.0043742 -0.2152984 -0.1263702 -0.2130619 0.0982647
-0.0375187 -0.1534262 -0.1500733 -0.2171180 -0.1263702 -0.2694853 0.0422789
-0.0430239 -0.1583256 -0.0667471 -0.2171180 -0.1148506 -0.2584083 0.1330145
-0.0344013 -0.1542908 -0.1476369 -0.2080201 -0.1148506 -0.2645238 0.0306957
-0.0339038 -0.1516970 -0.1780924 -0.1952830 -0.1148506 -0.2753700 0.0171818
-0.0356615 -0.1531380 -0.1949038 -0.2062005 -0.1148506 -0.2907162 0.0152513
-0.0384804 -0.1542908 -0.0947661 -0.2189375 -0.1263702 -0.2543698 0.0615844
-0.0371870 -0.1655307 -0.1101157 -0.1825460 -0.1206104 -0.2593314 0.0500011
-0.0394754 -0.1689891 -0.0596814 -0.1916439 -0.1378899 -0.2453698 0.0770287
-0.0395417 -0.1635133 -0.0867259 -0.2098397 -0.1148506 -0.2573699 0.0673760
-0.0400060 -0.1583256 -0.0735691 -0.2207571 -0.1206104 -0.2513698 0.0731676
-0.0416642 -0.1663953 -0.0418954 -0.2152984 -0.1206104 -0.2450236 0.0886120
-0.0415979 -0.1658189 -0.0228912 -0.2152984 -0.1148506 -0.2355620 0.0963342
-0.0329420 -0.1663953 -0.1464187 -0.1552523 -0.1263702 -0.2603699 0.0249040
-0.0422943 -0.1482386 -0.1164505 -0.2225767 -0.1263702 -0.2757161 0.0615844
-0.0416310 -0.1493914 -0.1298509 -0.2243963 -0.1378899 -0.2803316 0.0557927
-0.0333400 -0.1540026 -0.1598191 -0.2225767 -0.1436497 -0.2674084 0.0229735
-0.0420953 -0.1462211 -0.1274144 -0.2225767 -0.1378899 -0.2794085 0.0577233
-0.0400391 -0.1473740 -0.0031560 -0.2298550 -0.1436497 -0.2143311 0.1021258
-0.0418300 -0.1534262 -0.0855077 -0.2407725 -0.1378899 -0.2626776 0.0731676
-0.0405366 -0.1462211 -0.1013445 -0.2225767 -0.1263702 -0.2616391 0.0635149
-0.0437535 -0.1467975 -0.1123085 -0.2007418 -0.0975712 -0.2768700 0.0654455
-0.0426923 -0.1470857 -0.0933043 -0.2298550 -0.1494095 -0.2661391 0.0712371
-0.0423606 -0.1450683 -0.0984208 -0.2207571 -0.1263702 -0.2660238 0.0693065
-0.0424933 -0.1427627 -0.1503170 -0.2116592 -0.1263702 -0.2895624 0.0480706
-0.0421616 -0.1384397 -0.1478805 -0.1588915 -0.1436497 -0.2821777 0.0461400
-0.0407024 -0.1427627 -0.1215670 -0.2189375 -0.1378899 -0.2701776 0.0557927
-0.0259113 -0.1586138 -0.1988021 -0.2298550 -0.1321301 -0.2623314 -0.0079152
-0.0483302 -0.1540026 -0.0060797 -0.2189375 -0.1263702 -0.2465236 0.1195007
-0.0451796 -0.1390161 -0.1230288 -0.2043809 -0.1206104 -0.2840239 0.0654455
-0.0442510 -0.1476622 -0.1359420 -0.2152984 -0.1206104 -0.2910624 0.0577233
-0.0437204 -0.1531380 -0.1191305 -0.2334941 -0.1436497 -0.2846008 0.0635149
-0.0340696 -0.1488150 -0.0706454 -0.2262158 -0.1436497 -0.2258696 0.0615844
-0.0392764 -0.1416099 -0.1488551 -0.2116592 -0.1148506 -0.2772161 0.0403484
-0.0409677 -0.1476622 -0.0713763 -0.2098397 -0.1148506 -0.2487159 0.0750982
-0.0455775 -0.1470857 -0.1352110 -0.1534328 -0.1206104 -0.2911778 0.0596538
-0.0416973 -0.1499678 -0.1605500 -0.2152984 -0.1148506 -0.2947547 0.0422789
-0.0487944 -0.1551554 -0.0657725 -0.2207571 -0.1321301 -0.2769854 0.0963342
-0.0479322 -0.1580374 -0.0550522 -0.2425920 -0.1609291 -0.2714469 0.1001953
-0.0437204 -0.1479504 -0.1235161 -0.2134788 -0.1263702 -0.2833316 0.0615844
-0.0527410 -0.1407453 -0.0818530 -0.2152984 -0.1148506 -0.2922162 0.1001953
-0.0390111 -0.1416099 -0.1944165 -0.2043809 -0.1206104 -0.2974086 0.0229735
-0.0406693 -0.1545790 -0.1025628 -0.2189375 -0.1263702 -0.2657930 0.0635149
-0.0158626 -0.1453565 -0.2029441 -0.2207571 -0.1609291 -0.2234465 -0.0349429
-0.0192453 -0.1537144 -0.0282513 -0.2316746 -0.1494095 -0.1565230 0.0442095
-0.0179851 -0.1646661 -0.1179123 -0.2298550 -0.1206104 -0.1988695 0.0055986
-0.0173881 -0.1248942 -0.3408466 -0.2062005 -0.1436497 -0.2849470 -0.0851370
-0.0175539 -0.1528498 -0.0993954 -0.2225767 -0.1551693 -0.1839847 0.0113902
-0.0173218 -0.1545790 -0.0942789 -0.2425920 -0.1609291 -0.1821386 0.0133208
-0.0006071 -0.1450683 -0.3720330 -0.2207571 -0.1378899 -0.2503313 -0.1372617
-0.0177529 -0.1744649 -0.0933043 -0.1588915 -0.1782085 -0.1858309 0.0113902
-0.0260439 -0.1738885 -0.1084102 -0.2353137 -0.1436497 -0.2264466 0.0268346
-0.0237224 -0.1528498 -0.1291199 -0.2407725 -0.1551693 -0.2201004 0.0133208
-0.0068420 -0.1390161 -0.3861644 -0.2225767 -0.1378899 -0.2764084 -0.1276090
-0.0247505 -0.1707183 -0.0423827 -0.2262158 -0.1551693 -0.1888309 0.0500011
-0.0148345 -0.1355577 -0.1261962 -0.2334941 -0.1666889 -0.1804078 -0.0059847
-0.0167912 -0.1577492 -0.1495860 -0.2516899 -0.1436497 -0.2083311 -0.0098458
-0.0141712 -0.1439155 -0.1861326 -0.2316746 -0.1494095 -0.2097157 -0.0310818
-0.0179187 -0.1516970 -0.1651793 -0.2353137 -0.1436497 -0.2160619 -0.0137069
-0.0133753 -0.1600548 -0.1376475 -0.2389529 -0.1551693 -0.1909079 -0.0137069
-0.0179187 -0.1689891 -0.1120649 -0.2207571 -0.1436497 -0.1970233 0.0055986
-0.0232250 -0.1617840 -0.1069483 -0.2425920 -0.1436497 -0.2115618 0.0210429
-0.0169238 -0.1600548 -0.1498297 -0.2189375 -0.1436497 -0.2077541 -0.0117763
-0.0171228 -0.1589020 -0.1452004 -0.2243963 -0.1321301 -0.2061387 -0.0079152
-0.0171228 -0.1701419 -0.0265458 -0.2353137 -0.1551693 -0.1551384 0.0384178
-0.0162937 -0.1482386 -0.0884314 -0.2243963 -0.1263702 -0.1721000 0.0113902
-0.0179187 -0.1577492 -0.1559208 -0.2225767 -0.1206104 -0.2134080 -0.0098458
-0.0165590 -0.1718711 -0.0930606 -0.1607111 -0.1378899 -0.1806386 0.0075291
-0.0162274 -0.1635133 -0.1127958 -0.2298550 -0.1378899 -0.1898694 0.0017375
-0.0138396 -0.1715829 -0.0504229 -0.2662465 -0.1609291 -0.1575615 0.0229735
-0.0167248 -0.1701419 -0.1342365 -0.1752677 -0.1551693 -0.2009464 -0.0079152
-0.0151993 -0.1531380 -0.1873509 -0.2334941 -0.1378899 -0.2176773 -0.0291512
-0.0208703 -0.1787880 -0.0572450 -0.2444116 -0.1551693 -0.1867540 0.0364873
-0.0140386 -0.1603430 -0.2653169 -0.1807264 -0.1321301 -0.2501006 -0.0658316
-0.0164595 -0.1557318 -0.1639610 -0.2152984 -0.1436497 -0.2108695 -0.0175680
-0.0171228 -0.1589020 -0.1452004 -0.2243963 -0.1321301 -0.2061387 -0.0079152
0.0455572 -0.0868516 -0.1788233 -0.0770106 -0.0802918 0.0342091 -0.1739421
0.0451592 -0.1015499 -0.1627428 -0.1079434 -0.1148506 0.0324783 -0.1642893
0.0429041 -0.0908864 -0.1749250 -0.1024846 -0.1090908 0.0235936 -0.1642893
0.0444960 -0.0782055 -0.1508043 -0.1097629 -0.1206104 0.0451707 -0.1584977
0.0397867 -0.0917510 -0.1432513 -0.1115825 -0.1033310 0.0268244 -0.1449839
0.0467511 -0.0652364 -0.2175627 -0.1061238 -0.1148506 0.0268244 -0.1913170
0.0508634 -0.1243178 -0.2129335 -0.1279587 -0.1090908 0.0182859 -0.1971086
0.0508966 -0.0983796 -0.1707831 -0.1061238 -0.1206104 0.0501323 -0.1816642
0.0448608 -0.1084667 -0.1961220 -0.0861084 -0.0918114 0.0143628 -0.1778032
0.0424066 -0.0684066 -0.1218106 -0.0697322 -0.0687721 0.0580939 -0.1449839
0.0457230 -0.0880044 -0.1573826 -0.0879280 -0.1090908 0.0437861 -0.1662199
0.0406489 -0.0635072 -0.1559208 -0.0824693 -0.1148506 0.0369783 -0.1527061
0.0472486 -0.0707123 -0.1880818 -0.0788301 -0.0918114 0.0420553 -0.1816642
0.0463200 -0.0747471 -0.1603064 -0.1006650 -0.0975712 0.0489784 -0.1681504
0.0481772 -0.0839695 -0.1914928 -0.0842889 -0.0918114 0.0380168 -0.1855253
0.0487409 -0.1061611 -0.1544589 -0.1170412 -0.1090908 0.0465553 -0.1700810
0.0451261 -0.0992442 -0.1844271 -0.1024846 -0.0802918 0.0234782 -0.1739421
0.0458888 -0.0920392 -0.1858890 -0.1043042 -0.1090908 0.0282090 -0.1758726
0.0439985 -0.0779173 -0.1961220 -0.1006650 -0.1033310 0.0226705 -0.1758726
0.0392892 -0.0747471 -0.1766305 -0.0933867 -0.1033310 0.0172474 -0.1584977
0.0446286 -0.0560140 -0.1739504 -0.0715518 -0.1090908 0.0459784 -0.1700810
0.0443633 -0.0756117 -0.1549462 -0.0915672 -0.1206104 0.0449399 -0.1681504
0.0452256 -0.0856987 -0.1707831 -0.0970259 -0.1148506 0.0360552 -0.1681504
0.0436337 -0.0776291 -0.1632301 -0.1079434 -0.1206104 0.0366322 -0.1623588
0.0541135 -0.1070257 -0.2260903 -0.1079434 -0.1148506 0.0315552 -0.2106224
0.0460878 -0.0807993 -0.1659102 -0.1006650 -0.0975712 0.0430938 -0.1681504
0.0439985 -0.0934802 -0.1700521 -0.1024846 -0.1206104 0.0286706 -0.1662199
0.0420086 -0.0761881 -0.1815034 -0.0861084 -0.1090908 0.0242859 -0.1662199
0.0477129 -0.1018381 -0.1783360 -0.1006650 -0.0918114 0.0344399 -0.1778032
0.0174341 -0.0874280 -0.0996390 -0.0297016 0.0003456 -0.0233682 -0.0793454
0.0096074 -0.0692712 -0.0911115 -0.0315211 -0.0111740 -0.0394068 -0.0581094
0.0222097 -0.0848341 -0.1230288 -0.0569952 -0.0630123 -0.0185221 -0.0986508
0.0196893 -0.0998206 -0.1152322 -0.0660931 -0.0572525 -0.0301760 -0.0889981
0.0172351 -0.1009734 -0.1037810 -0.0806497 -0.0802918 -0.0346760 -0.0774148
0.0230057 -0.0926156 -0.1381348 -0.0660931 -0.0745320 -0.0265990 -0.1063730
0.0164392 -0.0828167 -0.0769801 -0.0551756 -0.0342133 -0.0158682 -0.0658316
0.0187275 -0.0756117 -0.0855077 -0.0715518 -0.0342133 -0.0100989 -0.0754843
0.0173346 -0.0767645 -0.0728382 -0.0497169 -0.0342133 -0.0080220 -0.0677621
0.0254598 -0.1041437 -0.1028064 -0.0606344 -0.0399731 -0.0055989 -0.0967203
0.0127911 -0.0133601 -0.1137704 -0.0533561 -0.0342133 -0.0180605 -0.0735537
0.0173346 -0.0730179 -0.1520225 -0.0460777 -0.0169338 -0.0437915 -0.0986508
0.0216459 -0.0842577 -0.0908678 -0.0515365 -0.0342133 -0.0046758 -0.0851370
0.0176331 -0.0609134 -0.1047555 -0.0297016 -0.0226937 -0.0144836 -0.0812759
0.0142504 -0.0779173 -0.0937916 -0.0351603 -0.0399731 -0.0282144 -0.0696927
0.0203857 -0.0839695 -0.1235161 -0.0533561 -0.0169338 -0.0245221 -0.0947897
0.0084467 -0.0738825 -0.0180183 -0.0224233 0.0061054 -0.0100989 -0.0252901
0.0226740 -0.0905982 -0.0954971 -0.0242428 0.0003456 -0.0040989 -0.0889981
0.0141509 -0.0851223 -0.0738128 -0.0533561 -0.0342133 -0.0231375 -0.0600399
0.0128243 -0.0822403 -0.1001263 -0.0351603 -0.0054142 -0.0379068 -0.0677621
0.0232378 -0.0756117 -0.1030500 -0.0424386 -0.0169338 -0.0008681 -0.0928592
0.0158754 -0.0905982 -0.0908678 -0.0606344 -0.0457329 -0.0278683 -0.0696927
0.0173015 -0.0885808 -0.0937916 -0.0515365 -0.0342133 -0.0229067 -0.0754843
0.0213806 -0.0882926 -0.1164505 -0.0533561 -0.0284535 -0.0194451 -0.0947897
0.0142835 -0.1148071 -0.0974462 -0.0897476 -0.0687721 -0.0480607 -0.0677621
0.0180311 -0.0972268 -0.0608996 -0.0569952 -0.0457329 -0.0085989 -0.0639010
0.0105028 -0.0695594 -0.0448191 -0.0133254 -0.0054142 -0.0133297 -0.0426650
0.0132886 -0.0663892 -0.0786856 -0.0260624 -0.0054142 -0.0287914 -0.0696927
0.0074517 -0.0456387 -0.0431136 -0.0369799 0.0003456 -0.0150605 -0.0330123
0.0120947 -0.0681184 -0.1023191 -0.0369799 -0.0169338 -0.0359452 -0.0677621
0.0222097 -0.0848341 -0.1230288 -0.0569952 -0.0630123 -0.0185221 -0.0986508
0.0196893 -0.0998206 -0.1152322 -0.0660931 -0.0572525 -0.0301760 -0.0889981
#Na construção de rankings no R, devemos efetuar a multiplicação por -1, 
#visto que os scores fatoriais das observações mais fortes são, por padrão, 
#apresentados acompanhados do sinal de menos.
F1 <- data.frame(F1) %>%
  mutate(fator1 = rowSums(.) * -1)

F1 %>%
  kable() %>%
  kable_styling(bootstrap_options = "striped", 
                full_width = T, 
                font_size = 12)
mois prot fat ash sodium carb cal fator1
-0.0433887 0.2321879 0.6003502 0.4506667 0.6339248 0.2549414 0.3202773 -2.4489596
-0.0411667 0.2272885 0.5764731 0.4925170 0.6454444 0.2520567 0.3029024 -2.4555154
-0.0416310 0.1906869 0.6225218 0.4452080 0.5532874 0.2545952 0.3241384 -2.3488066
-0.0343349 0.1952981 0.5579561 0.3924402 0.5417678 0.2479029 0.2835970 -2.1846272
-0.0345339 0.2278649 0.5218968 0.3978990 0.5590472 0.2435182 0.2700832 -2.1857754
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-0.0437535 -0.1467975 -0.1123085 -0.2007418 -0.0975712 -0.2768700 0.0654455 0.8125971
-0.0426923 -0.1470857 -0.0933043 -0.2298550 -0.1494095 -0.2661391 0.0712371 0.8572488
-0.0423606 -0.1450683 -0.0984208 -0.2207571 -0.1263702 -0.2660238 0.0693065 0.8296943
-0.0424933 -0.1427627 -0.1503170 -0.2116592 -0.1263702 -0.2895624 0.0480706 0.9150943
-0.0421616 -0.1384397 -0.1478805 -0.1588915 -0.1436497 -0.2821777 0.0461400 0.8670608
-0.0407024 -0.1427627 -0.1215670 -0.2189375 -0.1378899 -0.2701776 0.0557927 0.8762444
-0.0259113 -0.1586138 -0.1988021 -0.2298550 -0.1321301 -0.2623314 -0.0079152 1.0155589
-0.0483302 -0.1540026 -0.0060797 -0.2189375 -0.1263702 -0.2465236 0.1195007 0.6807432
-0.0451796 -0.1390161 -0.1230288 -0.2043809 -0.1206104 -0.2840239 0.0654455 0.8507943
-0.0442510 -0.1476622 -0.1359420 -0.2152984 -0.1206104 -0.2910624 0.0577233 0.8971030
-0.0437204 -0.1531380 -0.1191305 -0.2334941 -0.1436497 -0.2846008 0.0635149 0.9142186
-0.0340696 -0.1488150 -0.0706454 -0.2262158 -0.1436497 -0.2258696 0.0615844 0.7876808
-0.0392764 -0.1416099 -0.1488551 -0.2116592 -0.1148506 -0.2772161 0.0403484 0.8931190
-0.0409677 -0.1476622 -0.0713763 -0.2098397 -0.1148506 -0.2487159 0.0750982 0.7583143
-0.0455775 -0.1470857 -0.1352110 -0.1534328 -0.1206104 -0.2911778 0.0596538 0.8334415
-0.0416973 -0.1499678 -0.1605500 -0.2152984 -0.1148506 -0.2947547 0.0422789 0.9348399
-0.0487944 -0.1551554 -0.0657725 -0.2207571 -0.1321301 -0.2769854 0.0963342 0.8032607
-0.0479322 -0.1580374 -0.0550522 -0.2425920 -0.1609291 -0.2714469 0.1001953 0.8357945
-0.0437204 -0.1479504 -0.1235161 -0.2134788 -0.1263702 -0.2833316 0.0615844 0.8767831
-0.0527410 -0.1407453 -0.0818530 -0.2152984 -0.1148506 -0.2922162 0.1001953 0.7975093
-0.0390111 -0.1416099 -0.1944165 -0.2043809 -0.1206104 -0.2974086 0.0229735 0.9744640
-0.0406693 -0.1545790 -0.1025628 -0.2189375 -0.1263702 -0.2657930 0.0635149 0.8453969
-0.0158626 -0.1453565 -0.2029441 -0.2207571 -0.1609291 -0.2234465 -0.0349429 1.0042388
-0.0192453 -0.1537144 -0.0282513 -0.2316746 -0.1494095 -0.1565230 0.0442095 0.6946086
-0.0179851 -0.1646661 -0.1179123 -0.2298550 -0.1206104 -0.1988695 0.0055986 0.8442998
-0.0173881 -0.1248942 -0.3408466 -0.2062005 -0.1436497 -0.2849470 -0.0851370 1.2030631
-0.0175539 -0.1528498 -0.0993954 -0.2225767 -0.1551693 -0.1839847 0.0113902 0.8201396
-0.0173218 -0.1545790 -0.0942789 -0.2425920 -0.1609291 -0.1821386 0.0133208 0.8385186
-0.0006071 -0.1450683 -0.3720330 -0.2207571 -0.1378899 -0.2503313 -0.1372617 1.2639485
-0.0177529 -0.1744649 -0.0933043 -0.1588915 -0.1782085 -0.1858309 0.0113902 0.7970629
-0.0260439 -0.1738885 -0.1084102 -0.2353137 -0.1436497 -0.2264466 0.0268346 0.8869181
-0.0237224 -0.1528498 -0.1291199 -0.2407725 -0.1551693 -0.2201004 0.0133208 0.9084135
-0.0068420 -0.1390161 -0.3861644 -0.2225767 -0.1378899 -0.2764084 -0.1276090 1.2965064
-0.0247505 -0.1707183 -0.0423827 -0.2262158 -0.1551693 -0.1888309 0.0500011 0.7580665
-0.0148345 -0.1355577 -0.1261962 -0.2334941 -0.1666889 -0.1804078 -0.0059847 0.8631639
-0.0167912 -0.1577492 -0.1495860 -0.2516899 -0.1436497 -0.2083311 -0.0098458 0.9376429
-0.0141712 -0.1439155 -0.1861326 -0.2316746 -0.1494095 -0.2097157 -0.0310818 0.9661009
-0.0179187 -0.1516970 -0.1651793 -0.2353137 -0.1436497 -0.2160619 -0.0137069 0.9435271
-0.0133753 -0.1600548 -0.1376475 -0.2389529 -0.1551693 -0.1909079 -0.0137069 0.9098145
-0.0179187 -0.1689891 -0.1120649 -0.2207571 -0.1436497 -0.1970233 0.0055986 0.8548042
-0.0232250 -0.1617840 -0.1069483 -0.2425920 -0.1436497 -0.2115618 0.0210429 0.8687180
-0.0169238 -0.1600548 -0.1498297 -0.2189375 -0.1436497 -0.2077541 -0.0117763 0.9089260
-0.0171228 -0.1589020 -0.1452004 -0.2243963 -0.1321301 -0.2061387 -0.0079152 0.8918056
-0.0171228 -0.1701419 -0.0265458 -0.2353137 -0.1551693 -0.1551384 0.0384178 0.7210141
-0.0162937 -0.1482386 -0.0884314 -0.2243963 -0.1263702 -0.1721000 0.0113902 0.7644400
-0.0179187 -0.1577492 -0.1559208 -0.2225767 -0.1206104 -0.2134080 -0.0098458 0.8980297
-0.0165590 -0.1718711 -0.0930606 -0.1607111 -0.1378899 -0.1806386 0.0075291 0.7532011
-0.0162274 -0.1635133 -0.1127958 -0.2298550 -0.1378899 -0.1898694 0.0017375 0.8484132
-0.0138396 -0.1715829 -0.0504229 -0.2662465 -0.1609291 -0.1575615 0.0229735 0.7976090
-0.0167248 -0.1701419 -0.1342365 -0.1752677 -0.1551693 -0.2009464 -0.0079152 0.8604018
-0.0151993 -0.1531380 -0.1873509 -0.2334941 -0.1378899 -0.2176773 -0.0291512 0.9739007
-0.0208703 -0.1787880 -0.0572450 -0.2444116 -0.1551693 -0.1867540 0.0364873 0.8067509
-0.0140386 -0.1603430 -0.2653169 -0.1807264 -0.1321301 -0.2501006 -0.0658316 1.0684872
-0.0164595 -0.1557318 -0.1639610 -0.2152984 -0.1436497 -0.2108695 -0.0175680 0.9235379
-0.0171228 -0.1589020 -0.1452004 -0.2243963 -0.1321301 -0.2061387 -0.0079152 0.8918056
0.0455572 -0.0868516 -0.1788233 -0.0770106 -0.0802918 0.0342091 -0.1739421 0.5171530
0.0451592 -0.1015499 -0.1627428 -0.1079434 -0.1148506 0.0324783 -0.1642893 0.5737385
0.0429041 -0.0908864 -0.1749250 -0.1024846 -0.1090908 0.0235936 -0.1642893 0.5751785
0.0444960 -0.0782055 -0.1508043 -0.1097629 -0.1206104 0.0451707 -0.1584977 0.5282142
0.0397867 -0.0917510 -0.1432513 -0.1115825 -0.1033310 0.0268244 -0.1449839 0.5282886
0.0467511 -0.0652364 -0.2175627 -0.1061238 -0.1148506 0.0268244 -0.1913170 0.6215150
0.0508634 -0.1243178 -0.2129335 -0.1279587 -0.1090908 0.0182859 -0.1971086 0.7022601
0.0508966 -0.0983796 -0.1707831 -0.1061238 -0.1206104 0.0501323 -0.1816642 0.5765323
0.0448608 -0.1084667 -0.1961220 -0.0861084 -0.0918114 0.0143628 -0.1778032 0.6010882
0.0424066 -0.0684066 -0.1218106 -0.0697322 -0.0687721 0.0580939 -0.1449839 0.3732051
0.0457230 -0.0880044 -0.1573826 -0.0879280 -0.1090908 0.0437861 -0.1662199 0.5191166
0.0406489 -0.0635072 -0.1559208 -0.0824693 -0.1148506 0.0369783 -0.1527061 0.4918267
0.0472486 -0.0707123 -0.1880818 -0.0788301 -0.0918114 0.0420553 -0.1816642 0.5217959
0.0463200 -0.0747471 -0.1603064 -0.1006650 -0.0975712 0.0489784 -0.1681504 0.5061417
0.0481772 -0.0839695 -0.1914928 -0.0842889 -0.0918114 0.0380168 -0.1855253 0.5508940
0.0487409 -0.1061611 -0.1544589 -0.1170412 -0.1090908 0.0465553 -0.1700810 0.5615368
0.0451261 -0.0992442 -0.1844271 -0.1024846 -0.0802918 0.0234782 -0.1739421 0.5717855
0.0458888 -0.0920392 -0.1858890 -0.1043042 -0.1090908 0.0282090 -0.1758726 0.5930979
0.0439985 -0.0779173 -0.1961220 -0.1006650 -0.1033310 0.0226705 -0.1758726 0.5872390
0.0392892 -0.0747471 -0.1766305 -0.0933867 -0.1033310 0.0172474 -0.1584977 0.5500564
0.0446286 -0.0560140 -0.1739504 -0.0715518 -0.1090908 0.0459784 -0.1700810 0.4900810
0.0443633 -0.0756117 -0.1549462 -0.0915672 -0.1206104 0.0449399 -0.1681504 0.5215827
0.0452256 -0.0856987 -0.1707831 -0.0970259 -0.1148506 0.0360552 -0.1681504 0.5552280
0.0436337 -0.0776291 -0.1632301 -0.1079434 -0.1206104 0.0366322 -0.1623588 0.5515059
0.0541135 -0.1070257 -0.2260903 -0.1079434 -0.1148506 0.0315552 -0.2106224 0.6808636
0.0460878 -0.0807993 -0.1659102 -0.1006650 -0.0975712 0.0430938 -0.1681504 0.5239146
0.0439985 -0.0934802 -0.1700521 -0.1024846 -0.1206104 0.0286706 -0.1662199 0.5801782
0.0420086 -0.0761881 -0.1815034 -0.0861084 -0.1090908 0.0242859 -0.1662199 0.5528160
0.0477129 -0.1018381 -0.1783360 -0.1006650 -0.0918114 0.0344399 -0.1778032 0.5683010
0.0174341 -0.0874280 -0.0996390 -0.0297016 0.0003456 -0.0233682 -0.0793454 0.3017025
0.0096074 -0.0692712 -0.0911115 -0.0315211 -0.0111740 -0.0394068 -0.0581094 0.2909867
0.0222097 -0.0848341 -0.1230288 -0.0569952 -0.0630123 -0.0185221 -0.0986508 0.4228337
0.0196893 -0.0998206 -0.1152322 -0.0660931 -0.0572525 -0.0301760 -0.0889981 0.4378833
0.0172351 -0.1009734 -0.1037810 -0.0806497 -0.0802918 -0.0346760 -0.0774148 0.4605516
0.0230057 -0.0926156 -0.1381348 -0.0660931 -0.0745320 -0.0265990 -0.1063730 0.4813418
0.0164392 -0.0828167 -0.0769801 -0.0551756 -0.0342133 -0.0158682 -0.0658316 0.3144463
0.0187275 -0.0756117 -0.0855077 -0.0715518 -0.0342133 -0.0100989 -0.0754843 0.3337402
0.0173346 -0.0767645 -0.0728382 -0.0497169 -0.0342133 -0.0080220 -0.0677621 0.2919823
0.0254598 -0.1041437 -0.1028064 -0.0606344 -0.0399731 -0.0055989 -0.0967203 0.3844169
0.0127911 -0.0133601 -0.1137704 -0.0533561 -0.0342133 -0.0180605 -0.0735537 0.2935229
0.0173346 -0.0730179 -0.1520225 -0.0460777 -0.0169338 -0.0437915 -0.0986508 0.4131596
0.0216459 -0.0842577 -0.0908678 -0.0515365 -0.0342133 -0.0046758 -0.0851370 0.3290422
0.0176331 -0.0609134 -0.1047555 -0.0297016 -0.0226937 -0.0144836 -0.0812759 0.2961905
0.0142504 -0.0779173 -0.0937916 -0.0351603 -0.0399731 -0.0282144 -0.0696927 0.3304990
0.0203857 -0.0839695 -0.1235161 -0.0533561 -0.0169338 -0.0245221 -0.0947897 0.3767017
0.0084467 -0.0738825 -0.0180183 -0.0224233 0.0061054 -0.0100989 -0.0252901 0.1351610
0.0226740 -0.0905982 -0.0954971 -0.0242428 0.0003456 -0.0040989 -0.0889981 0.2804155
0.0141509 -0.0851223 -0.0738128 -0.0533561 -0.0342133 -0.0231375 -0.0600399 0.3155310
0.0128243 -0.0822403 -0.1001263 -0.0351603 -0.0054142 -0.0379068 -0.0677621 0.3157858
0.0232378 -0.0756117 -0.1030500 -0.0424386 -0.0169338 -0.0008681 -0.0928592 0.3085236
0.0158754 -0.0905982 -0.0908678 -0.0606344 -0.0457329 -0.0278683 -0.0696927 0.3695188
0.0173015 -0.0885808 -0.0937916 -0.0515365 -0.0342133 -0.0229067 -0.0754843 0.3492116
0.0213806 -0.0882926 -0.1164505 -0.0533561 -0.0284535 -0.0194451 -0.0947897 0.3794068
0.0142835 -0.1148071 -0.0974462 -0.0897476 -0.0687721 -0.0480607 -0.0677621 0.4723124
0.0180311 -0.0972268 -0.0608996 -0.0569952 -0.0457329 -0.0085989 -0.0639010 0.3153234
0.0105028 -0.0695594 -0.0448191 -0.0133254 -0.0054142 -0.0133297 -0.0426650 0.1786101
0.0132886 -0.0663892 -0.0786856 -0.0260624 -0.0054142 -0.0287914 -0.0696927 0.2617469
0.0074517 -0.0456387 -0.0431136 -0.0369799 0.0003456 -0.0150605 -0.0330123 0.1660076
0.0120947 -0.0681184 -0.1023191 -0.0369799 -0.0169338 -0.0359452 -0.0677621 0.3159639
0.0222097 -0.0848341 -0.1230288 -0.0569952 -0.0630123 -0.0185221 -0.0986508 0.4228337
0.0196893 -0.0998206 -0.1152322 -0.0660931 -0.0572525 -0.0301760 -0.0889981 0.4378833
#Importando a coluna referente ao fator F1:
pizza["fator1"] <- F1$fator1

#Criando um ranking pela soma ponderada dos fatores por sua variância
#compartilhada
pizza %>%
  mutate(pontuacao = fator1 * 
           relatorio$var_compartilhada[1]) -> pizza

#Visualizando o ranking final
pizza %>%
  arrange(desc(pontuacao)) %>%
  kable() %>%
  kable_styling(bootstrap_options = "striped", 
                full_width = T, 
                font_size = 12)
brand id mois prot fat ash sodium carb cal fator1 pontuacao
H 14032 38.84 8.55 4.38 1.41 0.43 46.82 2.61 1.2965064 0.7726789
H 14028 40.72 8.34 4.96 1.42 0.43 44.56 2.56 1.2639485 0.7532754
E 14029 39.59 8.36 4.39 1.52 0.48 46.14 2.58 1.2483823 0.7439984
E 14033 39.25 8.67 4.44 1.54 0.51 46.10 2.59 1.2160468 0.7247274
H 14123 35.66 9.04 6.24 1.50 0.42 47.56 2.83 1.2030631 0.7169895
E 34033 37.32 7.40 8.18 1.63 0.53 45.47 2.85 1.0825669 0.6451774
H 24132 36.67 7.81 9.34 1.64 0.44 44.54 2.93 1.0684872 0.6367863
G 14077 33.09 7.87 12.07 1.37 0.44 45.60 3.23 1.0155589 0.6052427
H 14127 36.12 8.33 11.90 1.42 0.39 42.23 3.09 1.0042388 0.5984962
F 24103 30.15 8.06 12.23 1.50 0.47 48.06 3.35 0.9802194 0.5841813
G 34013 29.14 8.46 12.25 1.51 0.46 48.64 3.39 0.9744640 0.5807513
H 34029 36.32 8.06 12.54 1.35 0.43 41.73 3.12 0.9739007 0.5804156
H 14076 36.63 8.38 12.59 1.36 0.41 41.04 3.11 0.9661009 0.5757671
E 14039 34.94 7.81 13.67 1.36 0.40 42.22 3.23 0.9580283 0.5709561
G 24004 30.85 8.03 13.67 1.41 0.42 46.04 3.39 0.9578230 0.5708338
E 24053 36.50 7.52 12.46 1.51 0.47 42.01 3.10 0.9457552 0.5636417
H 14159 35.50 8.11 13.45 1.34 0.42 41.59 3.20 0.9435271 0.5623139
H 14064 35.84 7.90 14.09 1.25 0.42 40.92 3.22 0.9376429 0.5588070
F 14084 30.96 8.31 13.42 1.49 0.43 45.82 3.37 0.9364858 0.5581174
G 24121 28.33 8.17 13.64 1.45 0.47 48.41 3.49 0.9348399 0.5571366
F 24097 30.68 8.11 12.92 1.56 0.47 46.73 3.36 0.9320150 0.5554530
E 14109 35.30 7.92 13.85 1.46 0.40 41.47 3.22 0.9243595 0.5508905
H 24112 35.94 7.97 13.50 1.45 0.42 41.14 3.18 0.9235379 0.5504009
E 24104 34.48 7.54 13.93 1.45 0.44 42.60 3.26 0.9201781 0.5483986
G 14119 28.09 8.42 14.06 1.47 0.45 47.96 3.52 0.9150943 0.5453687
G 24022 27.72 8.06 15.34 1.35 0.42 47.53 3.60 0.9142186 0.5448469
F 24046 29.59 8.05 14.07 1.44 0.45 46.22 3.49 0.9117128 0.5433535
H 14156 36.87 7.82 14.58 1.32 0.40 39.41 3.20 0.9098145 0.5422221
H 24024 35.80 7.82 14.08 1.43 0.42 40.87 3.21 0.9089260 0.5416926
H 14057 33.75 8.07 14.93 1.31 0.40 41.94 3.34 0.9084135 0.5413872
G 24015 28.35 8.19 14.90 1.40 0.43 47.16 3.56 0.9076982 0.5409609
H 24034 35.50 7.90 13.83 1.41 0.46 41.36 3.22 0.8980297 0.5351987
G 14095 28.21 8.30 15.00 1.41 0.43 47.08 3.57 0.8978826 0.5351111
G 14166 27.56 8.25 14.65 1.45 0.46 48.09 3.57 0.8971030 0.5346465
E 24088 37.59 7.93 13.58 1.43 0.45 39.47 3.12 0.8959431 0.5339552
F 14143 29.54 7.79 15.08 1.41 0.45 46.18 3.52 0.8939694 0.5327789
G 24047 29.06 8.46 14.12 1.47 0.47 46.89 3.48 0.8931190 0.5322721
F 24086 30.53 8.02 14.17 1.49 0.47 45.79 3.43 0.8930277 0.5322177
H 24089 35.74 7.86 14.27 1.40 0.44 40.73 3.23 0.8918056 0.5314894
H 24089 35.74 7.86 14.27 1.40 0.44 40.73 3.23 0.8918056 0.5314894
F 14118 29.79 8.17 14.35 1.49 0.46 46.20 3.46 0.8914722 0.5312907
H 14007 33.05 7.34 15.78 1.34 0.42 42.49 3.41 0.8869181 0.5285766
E 14063 34.51 7.75 14.87 1.42 0.42 41.45 3.31 0.8851802 0.5275408
G 34018 27.72 8.24 15.16 1.46 0.45 47.42 3.59 0.8767831 0.5225364
G 14112 28.63 8.42 15.24 1.43 0.43 46.28 3.56 0.8762444 0.5222154
E 14089 34.58 7.44 16.24 1.31 0.39 40.43 3.38 0.8725147 0.5199926
F 14065 28.66 7.67 16.12 1.41 0.43 46.14 3.60 0.8706210 0.5188640
G 14145 28.15 8.23 15.45 1.41 0.45 46.76 3.59 0.8700620 0.5185309
H 24016 33.90 7.76 15.84 1.30 0.42 41.20 3.38 0.8687180 0.5177299
G 14131 28.19 8.57 14.16 1.76 0.42 47.32 3.51 0.8670608 0.5167422
F 14038 30.28 7.76 16.04 1.40 0.42 44.52 3.53 0.8670045 0.5167087
F 14165 29.89 7.95 15.08 1.45 0.47 45.63 3.50 0.8669144 0.5166550
H 14041 36.43 8.67 15.05 1.35 0.38 38.50 3.24 0.8631639 0.5144198
F 24137 30.97 7.60 14.22 1.78 0.45 45.43 3.40 0.8628444 0.5142294
H 24139 35.86 7.47 14.72 1.67 0.40 40.28 3.23 0.8604018 0.5127737
F 24035 27.65 7.78 17.30 1.29 0.40 46.25 3.72 0.8592674 0.5120976
F 14018 29.78 8.20 14.51 1.50 0.50 46.01 3.47 0.8577608 0.5111997
G 14040 28.03 8.27 16.40 1.37 0.41 45.93 3.64 0.8572488 0.5108946
H 24009 35.50 7.51 15.63 1.42 0.42 39.94 3.30 0.8548042 0.5094377
F 14054 30.09 7.99 15.16 1.46 0.48 45.30 3.50 0.8517620 0.5076246
G 14085 27.28 8.55 15.18 1.51 0.46 47.48 3.61 0.8507943 0.5070479
G 14017 28.29 8.05 16.72 1.31 0.43 45.63 3.65 0.8489361 0.5059405
H 34028 36.01 7.70 15.60 1.37 0.43 39.32 3.28 0.8484132 0.5056288
G 24149 28.64 8.01 16.02 1.43 0.45 45.90 3.60 0.8453969 0.5038312
E 24035 34.31 7.98 14.54 1.46 0.49 41.71 3.30 0.8445887 0.5033495
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E 14126 37.78 8.30 13.05 1.64 0.49 39.23 3.08 0.8412653 0.5013689
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G 14010 28.68 8.30 16.07 1.41 0.45 45.54 3.60 0.8351734 0.4977383
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G 14026 28.13 8.34 16.19 1.42 0.45 45.92 3.63 0.8296943 0.4944729
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E 14056 36.84 7.77 17.07 1.37 0.40 36.95 3.33 0.7881079 0.4696886
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E 14142 39.36 8.10 16.44 1.45 0.44 34.65 3.19 0.7484826 0.4460732
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F 34036 28.34 7.60 18.51 1.45 0.46 44.10 3.73 0.7422753 0.4423738
E 34031 35.54 7.47 17.67 1.44 0.47 37.88 3.40 0.7306079 0.4354204
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F 34037 28.03 7.65 18.39 1.53 0.49 44.40 3.74 0.7144811 0.4258093
I 24052 56.24 9.06 11.49 1.93 0.48 21.28 2.25 0.7022601 0.4185259
E 24140 34.23 7.75 17.94 1.61 0.44 38.47 3.46 0.7018755 0.4182967
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E 14155 34.47 7.62 19.07 1.44 0.44 37.40 3.52 0.6842977 0.4078209
I 34019 57.22 9.66 10.95 2.04 0.47 20.13 2.18 0.6808636 0.4057743
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E 34032 33.65 7.11 19.50 1.48 0.45 38.26 3.57 0.6784710 0.4043484
G 14153 28.83 8.26 20.10 1.37 0.42 41.44 3.80 0.6762791 0.4030420
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F 24042 29.10 8.07 20.05 1.45 0.45 41.33 3.78 0.6528335 0.3890692
F 14110 30.07 8.02 20.39 1.45 0.45 40.07 3.76 0.6320962 0.3767104
I 24128 55.00 11.11 11.30 2.05 0.47 20.54 2.28 0.6215150 0.3704043
F 14130 28.93 8.18 19.35 1.39 0.58 42.15 3.75 0.6185753 0.3686523
E 24110 37.34 7.33 19.61 1.60 0.45 34.12 3.42 0.6165667 0.3674552
E 24110 37.34 7.33 19.61 1.60 0.45 34.12 3.42 0.6165667 0.3674552
I 14157 54.43 9.61 12.18 2.16 0.51 21.62 2.35 0.6010882 0.3582305
I 14098 54.74 10.18 12.60 2.06 0.48 20.42 2.36 0.5930979 0.3534686
I 14125 54.17 10.67 12.18 2.08 0.49 20.90 2.36 0.5872390 0.3499768
I 34026 54.17 10.13 13.25 2.07 0.46 20.38 2.41 0.5801782 0.3457688
I 14068 56.25 9.96 13.22 2.05 0.46 18.52 2.33 0.5765323 0.3435959
I 14019 53.84 10.22 13.05 2.07 0.48 20.82 2.42 0.5751785 0.3427891
I 14046 54.52 9.85 13.55 2.04 0.47 20.05 2.42 0.5737385 0.3419309
I 14114 54.51 9.93 12.66 2.07 0.53 20.83 2.37 0.5717855 0.3407670
I 34024 55.29 9.84 12.91 2.08 0.51 19.88 2.35 0.5683010 0.3386903
I 24023 55.60 9.69 13.89 1.99 0.48 18.83 2.39 0.5615368 0.3346591
I 34021 54.54 10.40 13.22 2.10 0.47 19.74 2.40 0.5552280 0.3308992
I 34025 53.57 10.73 12.78 2.16 0.48 20.76 2.41 0.5528160 0.3294618
I 24141 54.06 10.68 13.53 2.04 0.46 19.69 2.43 0.5515059 0.3286810
I 14030 55.43 10.46 12.37 2.17 0.51 19.57 2.31 0.5508940 0.3283163
I 24048 52.75 10.78 12.98 2.12 0.49 21.37 2.45 0.5500564 0.3278171
I 24111 52.90 10.19 14.35 2.02 0.49 20.54 2.52 0.5282886 0.3148442
I 24107 54.32 10.66 14.04 2.03 0.46 18.95 2.45 0.5282142 0.3147998
I 34027 54.80 10.57 13.42 2.08 0.50 19.13 2.40 0.5239146 0.3122374
I 14031 55.15 10.92 12.51 2.20 0.51 19.22 2.33 0.5217959 0.3109747
I 34022 54.28 10.75 13.87 2.13 0.46 18.97 2.40 0.5215827 0.3108476
I 14102 54.69 10.32 13.77 2.15 0.48 19.07 2.41 0.5191166 0.3093779
I 14134 54.64 10.36 12.89 2.21 0.53 19.90 2.37 0.5171530 0.3082077
I 14067 54.87 10.78 13.65 2.08 0.50 18.62 2.40 0.5061417 0.3016453
I 14103 53.16 11.17 13.83 2.18 0.47 19.66 2.48 0.4918267 0.2931140
I 34023 54.36 11.43 13.09 2.24 0.48 18.88 2.39 0.4900810 0.2920736
J 14043 47.84 10.16 14.56 2.27 0.54 25.17 2.72 0.4813418 0.2868653
J 24070 45.21 9.39 16.23 2.14 0.55 27.03 2.92 0.4723124 0.2814840
J 14042 46.10 9.87 15.97 2.19 0.53 25.87 2.87 0.4605516 0.2744749
J 14045 46.84 9.91 15.50 2.27 0.57 25.48 2.81 0.4378833 0.2609653
J 14045 46.84 9.91 15.50 2.27 0.57 25.48 2.81 0.4378833 0.2609653
J 14044 47.60 10.43 15.18 2.32 0.56 24.47 2.76 0.4228337 0.2519962
J 14044 47.60 10.43 15.18 2.32 0.56 24.47 2.76 0.4228337 0.2519962
J 24073 46.13 10.84 13.99 2.38 0.64 26.66 2.76 0.4131596 0.2462307
J 24062 48.58 9.76 16.01 2.30 0.60 23.35 2.77 0.3844169 0.2291009
J 24077 47.35 10.31 15.45 2.34 0.62 24.55 2.78 0.3794068 0.2261151
J 24078 47.05 10.46 15.16 2.34 0.64 24.99 2.78 0.3767017 0.2245029
I 14158 53.69 11.00 15.23 2.25 0.55 17.83 2.52 0.3732051 0.2224190
J 24066 45.69 10.23 16.50 2.30 0.59 25.28 2.91 0.3695188 0.2202221
J 24076 46.12 10.30 16.38 2.35 0.61 24.85 2.88 0.3492116 0.2081197
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J 24068 45.20 10.67 16.38 2.44 0.60 25.31 2.91 0.3304990 0.1969675
J 24072 47.43 10.45 16.50 2.35 0.61 23.27 2.83 0.3290422 0.1960993
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J 34040 44.77 10.52 16.12 2.44 0.66 26.15 2.92 0.3157858 0.1881988
J 34041 45.17 10.42 17.20 2.34 0.61 24.87 2.96 0.3155310 0.1880470
J 24075 46.34 10.00 17.73 2.32 0.59 23.61 2.94 0.3153234 0.1879233
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J 34042 46.16 10.34 16.14 2.47 0.67 24.89 2.86 0.3017025 0.1798056
J 24071 46.22 11.26 15.93 2.47 0.63 24.12 2.85 0.2961905 0.1765207
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J 24063 46.13 10.71 17.24 2.36 0.61 23.56 2.92 0.2919823 0.1740127
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J 34043 44.07 10.96 18.39 2.56 0.66 24.02 3.05 0.1786101 0.1064462
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C 24113 51.71 24.98 17.20 3.01 0.34 3.10 2.67 -0.2873852 -0.1712730
C 14073 49.72 27.31 16.89 3.08 0.25 3.00 2.73 -0.3140195 -0.1871462
C 24058 49.27 27.42 17.42 3.05 0.33 2.84 2.78 -0.3807291 -0.2269031
C 34010 50.98 26.34 16.47 3.20 0.43 3.01 2.66 -0.3918919 -0.2335558
C 24031 49.10 24.53 21.08 2.84 0.34 2.45 2.98 -0.3967083 -0.2364263
C 14162 52.26 26.31 14.77 3.51 0.53 3.15 2.51 -0.4372842 -0.2606083
C 14029 49.73 25.65 19.98 2.51 0.52 2.13 2.91 -0.4380845 -0.2610852
B 14161 55.11 14.87 21.90 3.29 0.86 4.83 2.76 -0.4696731 -0.2799111
C 14139 49.35 25.23 20.03 3.02 0.44 2.37 2.91 -0.4698887 -0.2800396
C 34003 49.57 25.46 20.79 3.04 0.37 1.14 2.94 -0.4790684 -0.2855104
B 14094 54.08 13.28 25.25 3.10 0.80 4.29 2.98 -0.4816258 -0.2870345
D 14004 49.16 27.99 17.49 3.29 0.39 2.07 2.78 -0.4856107 -0.2894094
C 14106 50.18 28.30 15.79 3.47 0.45 2.26 2.64 -0.4945995 -0.2947665
B 14149 54.96 14.26 22.99 3.19 0.90 4.60 2.82 -0.4972331 -0.2963360
C 24038 50.04 24.13 19.75 3.21 0.52 2.87 2.86 -0.4988812 -0.2973183
C 24135 52.22 26.25 16.45 3.92 0.38 1.16 2.58 -0.5010355 -0.2986021
B 14113 54.12 14.06 24.95 3.14 0.82 3.73 2.96 -0.5183273 -0.3089075
C 24020 47.90 25.55 21.10 3.04 0.43 2.41 3.02 -0.5190261 -0.3093240
C 14036 48.88 25.23 20.89 3.22 0.47 1.78 2.96 -0.5594148 -0.3333944
C 14151 51.59 26.24 16.41 3.61 0.60 2.15 2.61 -0.5623609 -0.3351502
C 14022 48.69 28.48 17.37 3.53 0.43 1.93 2.78 -0.5635747 -0.3358736
B 34005 51.86 13.13 28.82 2.94 0.80 3.25 3.25 -0.5919328 -0.3527742
B 34011 53.98 14.05 24.73 3.32 0.92 3.92 2.94 -0.5965117 -0.3555031
C 14093 48.97 25.63 19.28 3.48 0.55 2.64 2.87 -0.5981041 -0.3564521
C 14080 48.84 23.98 23.37 3.00 0.52 0.81 3.09 -0.6087385 -0.3627899
D 14116 47.61 22.44 19.61 4.06 0.60 6.28 2.91 -0.6097541 -0.3633951
D 24134 47.91 22.22 20.40 4.07 0.56 5.40 2.94 -0.6183823 -0.3685373
B 24118 51.75 13.18 28.38 3.04 0.86 3.65 3.23 -0.6265668 -0.3734150
B 14083 50.81 12.56 29.95 2.99 0.81 3.69 3.35 -0.6286411 -0.3746512
C 24006 47.83 25.82 20.79 3.33 0.54 2.23 2.99 -0.6314334 -0.3763153
C 24152 47.11 26.17 21.29 3.36 0.48 2.07 3.05 -0.6356441 -0.3788248
C 14014 48.15 27.98 18.69 3.58 0.48 1.70 2.87 -0.6374604 -0.3799073
B 14006 52.68 14.38 25.72 3.26 0.93 3.96 3.05 -0.6414486 -0.3822841
D 14059 47.86 22.25 19.53 4.04 0.68 6.32 2.90 -0.6432054 -0.3833311
D 24044 48.31 22.49 19.53 4.18 0.62 5.49 2.88 -0.6482457 -0.3863350
C 24144 48.48 26.76 19.99 3.64 0.46 1.13 2.91 -0.6487649 -0.3866444
D 24153 48.81 22.43 18.68 4.10 0.72 5.98 2.82 -0.6532693 -0.3893289
D 14050 47.49 21.75 20.83 4.01 0.67 5.92 2.98 -0.6680832 -0.3981575
C 14058 48.40 26.05 21.40 3.44 0.50 0.71 3.00 -0.6712599 -0.4000507
C 24043 52.19 26.00 16.64 4.17 0.61 1.00 2.58 -0.6781715 -0.4041698
D 24043 52.19 26.00 16.64 4.17 0.61 1.00 2.58 -0.6781715 -0.4041698
D 24021 47.68 21.84 20.45 4.06 0.71 5.97 2.95 -0.6878172 -0.4099184
D 24011 48.05 22.05 20.57 4.04 0.70 5.29 2.94 -0.6945370 -0.4139232
D 24039 47.80 22.36 20.39 4.02 0.70 5.43 2.95 -0.6949325 -0.4141589
D 14023 47.53 21.11 21.54 4.02 0.70 5.80 3.02 -0.6952755 -0.4143633
D 24030 48.01 21.31 21.05 4.01 0.73 5.62 2.97 -0.6985769 -0.4163309
D 14037 47.29 21.48 21.69 4.03 0.67 5.51 3.03 -0.6986145 -0.4163533
D 14013 48.03 21.96 20.88 4.02 0.70 5.11 2.96 -0.7017287 -0.4182092
D 34009 47.45 22.37 20.97 4.06 0.70 5.15 2.99 -0.7264226 -0.4329261
D 24007 47.43 22.13 21.01 4.09 0.72 5.34 2.99 -0.7352000 -0.4381572
D 14072 47.60 22.07 21.13 4.07 0.72 5.13 2.99 -0.7357423 -0.4384803
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B 24045 52.46 14.18 24.60 3.57 1.12 5.19 2.99 -0.7477345 -0.4456273
C 24091 47.25 23.95 24.24 3.47 0.57 1.09 3.18 -0.7522611 -0.4483250
B 24125 52.23 13.64 27.04 3.57 0.98 3.52 3.12 -0.7545870 -0.4497112
D 14003 47.17 22.29 21.30 4.08 0.74 5.16 3.02 -0.7635833 -0.4550727
B 14062 50.67 13.21 27.66 3.64 1.00 4.82 3.21 -0.7787581 -0.4641165
B 14124 51.90 14.27 24.92 3.85 1.06 5.06 3.02 -0.7799486 -0.4648260
C 14115 47.91 26.03 21.54 3.71 0.60 0.81 3.01 -0.7799728 -0.4648404
B 24040 49.96 13.40 28.84 3.48 0.98 4.32 3.30 -0.7931406 -0.4726880
B 24019 50.33 13.96 29.25 3.42 0.96 3.04 3.31 -0.8147592 -0.4855720
B 14052 50.19 13.78 28.39 3.56 1.00 4.08 3.27 -0.8169450 -0.4868747
B 24012 49.69 13.63 29.59 3.41 0.98 3.68 3.36 -0.8233781 -0.4907086
B 24008 49.34 13.79 29.57 3.52 0.95 3.78 3.36 -0.8279233 -0.4934175
B 24145 51.74 13.95 27.75 3.60 1.04 2.96 3.17 -0.8353269 -0.4978298
B 24083 49.34 13.06 29.46 3.51 1.04 4.63 3.36 -0.8444155 -0.5032463
B 14146 49.77 13.24 28.91 3.59 1.06 4.49 3.31 -0.8556676 -0.5099522
B 14047 49.99 13.35 29.20 3.52 1.05 3.94 3.32 -0.8564130 -0.5103965
B 24151 51.52 13.72 28.28 3.62 1.05 2.86 3.21 -0.8591567 -0.5120316
B 14024 48.53 13.14 30.38 3.55 0.99 4.40 3.44 -0.8630275 -0.5143385
B 24101 51.03 13.90 27.56 3.73 1.08 3.78 3.19 -0.8679952 -0.5172991
B 24093 49.57 13.17 29.39 3.59 1.06 4.28 3.35 -0.8748271 -0.5213707
B 24049 50.87 13.85 27.64 3.71 1.10 3.93 3.20 -0.8760530 -0.5221013
B 14074 50.72 12.93 29.88 3.60 1.03 2.87 3.32 -0.8786805 -0.5236672
B 14132 51.12 14.02 27.37 3.71 1.11 3.78 3.18 -0.8788326 -0.5237579
B 24029 50.65 13.14 28.79 3.73 1.09 3.69 3.26 -0.8951119 -0.5334599
B 14015 49.57 13.70 29.07 3.62 1.10 4.04 3.33 -0.9097113 -0.5421607
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D 24092 46.80 20.70 25.10 4.55 0.70 2.85 3.20 -0.9330015 -0.5560409
D 14107 46.88 21.71 23.60 4.59 0.75 3.22 3.12 -0.9421924 -0.5615184
D 24084 47.03 20.84 25.68 4.52 0.69 1.93 3.22 -0.9551885 -0.5692637
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D 34004 46.19 21.19 25.18 4.66 0.80 2.78 3.23 -1.0312624 -0.6146014
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A 24108 34.58 17.53 40.87 5.05 1.61 1.97 4.46 -2.0538658 -1.2240424
A 24122 32.20 19.25 43.42 4.62 1.50 0.51 4.70 -2.0792524 -1.2391720
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A 14154 30.91 19.65 42.45 4.81 1.65 2.81 4.72 -2.1611604 -1.2879867
A 24094 32.73 20.06 39.74 5.24 1.69 2.23 4.47 -2.1726948 -1.2948609
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A 24146 30.41 18.71 43.99 4.86 1.62 2.03 4.79 -2.1842647 -1.3017562
A 14016 30.55 20.15 43.13 4.79 1.61 1.38 4.74 -2.1846272 -1.3019722
A 14005 30.49 21.28 41.65 4.82 1.64 1.76 4.67 -2.1857754 -1.3026566
A 24115 33.19 18.05 41.88 5.22 1.70 1.66 4.56 -2.1945041 -1.3078586
A 24102 31.80 20.35 40.44 5.43 1.61 1.98 4.53 -2.1979848 -1.3099330
A 14075 31.14 20.23 42.31 4.92 1.65 1.40 4.67 -2.2018598 -1.3122424
A 24136 30.88 20.58 42.26 4.96 1.63 1.32 4.68 -2.2084787 -1.3161870
A 34012 30.43 19.78 44.20 4.80 1.61 0.79 4.80 -2.2198462 -1.3229617
A 24082 31.02 19.05 42.29 5.27 1.71 2.37 4.66 -2.2520878 -1.3421768
A 14164 28.70 20.00 45.12 4.93 1.56 1.25 4.91 -2.2536482 -1.3431067
A 34006 28.93 19.99 45.20 4.78 1.62 1.10 4.91 -2.2650679 -1.3499125
A 24138 29.62 21.10 43.37 5.05 1.69 0.86 4.78 -2.3218792 -1.3837704
A 24026 30.83 17.88 44.33 5.26 1.76 1.70 4.77 -2.3233878 -1.3846694
A 14097 28.76 21.41 41.60 5.28 1.75 2.95 4.72 -2.3255467 -1.3859561
A 14025 28.35 19.99 45.78 5.08 1.63 0.80 4.95 -2.3488066 -1.3998183
A 34020 27.78 20.01 45.59 4.97 1.70 1.65 4.97 -2.3572201 -1.4048325
A 14101 27.35 21.20 45.59 4.94 1.65 0.92 4.98 -2.3661860 -1.4101759
A 14117 28.22 20.48 45.10 5.02 1.71 1.18 4.93 -2.3728449 -1.4141444
A 34017 27.02 19.56 47.20 4.95 1.65 1.27 5.08 -2.3741397 -1.4149160
A 14108 26.98 21.20 45.03 5.15 1.67 1.64 4.97 -2.3908073 -1.4248494
A 14133 27.72 21.19 45.29 5.16 1.66 0.64 4.95 -2.4030452 -1.4321428
A 14069 27.82 21.43 44.87 5.11 1.77 0.77 4.93 -2.4489596 -1.4595064
A 14053 28.49 21.26 43.89 5.34 1.79 1.02 4.84 -2.4555154 -1.4634135